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Finding the Fourth Proportional to 429,742.39, 592,293.82 and 314,776.78

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Solution

The fourth proportional to 429,742.39, 592,293.82 and 314,776.78 is: 433,842.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,742.39 : 592,293.82 = 314,776.78 : x
  2. Step 2: Convert to fraction form
    429,742.39/592,293.82 = 314,776.78/x
  3. Step 3: Cross multiply
    429,742.39x = 592,293.82 × 314,776.78
  4. Step 4: Simplify right side
    429,742.39x = 186,440,341,473.50
  5. Step 5: Solve for x
    x = 186,440,341,473.50/429,742.39
  6. Step 6: Final answer
    x = 433,842.10

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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.