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Finding the Fourth Proportional to 708,382.85, 977,568.70 and 402,459.77

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Solution

The fourth proportional to 708,382.85, 977,568.70 and 402,459.77 is: 555,394.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    708,382.85 : 977,568.70 = 402,459.77 : x
  2. Step 2: Convert to fraction form
    708,382.85/977,568.70 = 402,459.77/x
  3. Step 3: Cross multiply
    708,382.85x = 977,568.70 × 402,459.77
  4. Step 4: Simplify right side
    708,382.85x = 393,432,074,161.20
  5. Step 5: Solve for x
    x = 393,432,074,161.20/708,382.85
  6. Step 6: Final answer
    x = 555,394.69

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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.