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Finding the Fourth Proportional to 708,498.14, 977,678.59 and 398,447.08

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Solution

The fourth proportional to 708,498.14, 977,678.59 and 398,447.08 is: 549,829.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    708,498.14 : 977,678.59 = 398,447.08 : x
  2. Step 2: Convert to fraction form
    708,498.14/977,678.59 = 398,447.08/x
  3. Step 3: Cross multiply
    708,498.14x = 977,678.59 × 398,447.08
  4. Step 4: Simplify right side
    708,498.14x = 389,553,179,364.02
  5. Step 5: Solve for x
    x = 389,553,179,364.02/708,498.14
  6. Step 6: Final answer
    x = 549,829.50

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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.