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Finding the Fourth Proportional to 708,382.32, 977,567.97 and 402,459.24

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Solution

The fourth proportional to 708,382.32, 977,567.97 and 402,459.24 is: 555,393.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    708,382.32 : 977,567.97 = 402,459.24 : x
  2. Step 2: Convert to fraction form
    708,382.32/977,567.97 = 402,459.24/x
  3. Step 3: Cross multiply
    708,382.32x = 977,567.97 × 402,459.24
  4. Step 4: Simplify right side
    708,382.32x = 393,431,262,254.54
  5. Step 5: Solve for x
    x = 393,431,262,254.54/708,382.32
  6. Step 6: Final answer
    x = 555,393.96

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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.