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Finding the Fourth Proportional to 708,638.50, 977,921.13 and 390,686.50

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Solution

The fourth proportional to 708,638.50, 977,921.13 and 390,686.50 is: 539,147.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    708,638.50 : 977,921.13 = 390,686.50 : x
  2. Step 2: Convert to fraction form
    708,638.50/977,921.13 = 390,686.50/x
  3. Step 3: Cross multiply
    708,638.50x = 977,921.13 × 390,686.50
  4. Step 4: Simplify right side
    708,638.50x = 382,060,583,555.75
  5. Step 5: Solve for x
    x = 382,060,583,555.75/708,638.50
  6. Step 6: Final answer
    x = 539,147.37

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