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Finding the Fourth Proportional to 407,713.60, 611,570.40 and 390,436.30

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Solution

The fourth proportional to 407,713.60, 611,570.40 and 390,436.30 is: 585,654.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,713.60 : 611,570.40 = 390,436.30 : x
  2. Step 2: Convert to fraction form
    407,713.60/611,570.40 = 390,436.30/x
  3. Step 3: Cross multiply
    407,713.60x = 611,570.40 × 390,436.30
  4. Step 4: Simplify right side
    407,713.60x = 238,779,284,165.52
  5. Step 5: Solve for x
    x = 238,779,284,165.52/407,713.60
  6. Step 6: Final answer
    x = 585,654.45

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