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Finding the Fourth Proportional to 407,811.60, 611,717.40 and 390,534.30

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Solution

The fourth proportional to 407,811.60, 611,717.40 and 390,534.30 is: 585,801.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,811.60 : 611,717.40 = 390,534.30 : x
  2. Step 2: Convert to fraction form
    407,811.60/611,717.40 = 390,534.30/x
  3. Step 3: Cross multiply
    407,811.60x = 611,717.40 × 390,534.30
  4. Step 4: Simplify right side
    407,811.60x = 238,896,626,606.82
  5. Step 5: Solve for x
    x = 238,896,626,606.82/407,811.60
  6. Step 6: Final answer
    x = 585,801.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.