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Finding the Fourth Proportional to 527,827.77, 728,402.85 and 286,110.29

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Solution

The fourth proportional to 527,827.77, 728,402.85 and 286,110.29 is: 394,832.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,827.77 : 728,402.85 = 286,110.29 : x
  2. Step 2: Convert to fraction form
    527,827.77/728,402.85 = 286,110.29/x
  3. Step 3: Cross multiply
    527,827.77x = 728,402.85 × 286,110.29
  4. Step 4: Simplify right side
    527,827.77x = 208,403,547,008.31
  5. Step 5: Solve for x
    x = 208,403,547,008.31/527,827.77
  6. Step 6: Final answer
    x = 394,832.48

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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.