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Finding the Fourth Proportional to 493,952.16, 681,403.44 and 312,358.08

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Solution

The fourth proportional to 493,952.16, 681,403.44 and 312,358.08 is: 430,895.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,952.16 : 681,403.44 = 312,358.08 : x
  2. Step 2: Convert to fraction form
    493,952.16/681,403.44 = 312,358.08/x
  3. Step 3: Cross multiply
    493,952.16x = 681,403.44 × 312,358.08
  4. Step 4: Simplify right side
    493,952.16x = 212,841,870,223.80
  5. Step 5: Solve for x
    x = 212,841,870,223.80/493,952.16
  6. Step 6: Final answer
    x = 430,895.72

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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.