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Finding the Fourth Proportional to 602,006.12, 830,784.30 and 340,340.60

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Solution

The fourth proportional to 602,006.12, 830,784.30 and 340,340.60 is: 469,678.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,006.12 : 830,784.30 = 340,340.60 : x
  2. Step 2: Convert to fraction form
    602,006.12/830,784.30 = 340,340.60/x
  3. Step 3: Cross multiply
    602,006.12x = 830,784.30 × 340,340.60
  4. Step 4: Simplify right side
    602,006.12x = 282,749,627,132.58
  5. Step 5: Solve for x
    x = 282,749,627,132.58/602,006.12
  6. Step 6: Final answer
    x = 469,678.99

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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.