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Finding the Fourth Proportional to 711,603.63, 982,056.56 and 409,894.83

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Solution

The fourth proportional to 711,603.63, 982,056.56 and 409,894.83 is: 565,679.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    711,603.63 : 982,056.56 = 409,894.83 : x
  2. Step 2: Convert to fraction form
    711,603.63/982,056.56 = 409,894.83/x
  3. Step 3: Cross multiply
    711,603.63x = 982,056.56 × 409,894.83
  4. Step 4: Simplify right side
    711,603.63x = 402,539,904,662.11
  5. Step 5: Solve for x
    x = 402,539,904,662.11/711,603.63
  6. Step 6: Final answer
    x = 565,679.95

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.