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Finding the Fourth Proportional to 429,341.40, 592,083.12 and 312,949.08

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Solution

The fourth proportional to 429,341.40, 592,083.12 and 312,949.08 is: 431,572.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,341.40 : 592,083.12 = 312,949.08 : x
  2. Step 2: Convert to fraction form
    429,341.40/592,083.12 = 312,949.08/x
  3. Step 3: Cross multiply
    429,341.40x = 592,083.12 × 312,949.08
  4. Step 4: Simplify right side
    429,341.40x = 185,291,867,687.53
  5. Step 5: Solve for x
    x = 185,291,867,687.53/429,341.40
  6. Step 6: Final answer
    x = 431,572.33

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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.