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Finding the Fourth Proportional to 417,038.49, 575,461.62 and 296,135.73

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Solution

The fourth proportional to 417,038.49, 575,461.62 and 296,135.73 is: 408,630.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,038.49 : 575,461.62 = 296,135.73 : x
  2. Step 2: Convert to fraction form
    417,038.49/575,461.62 = 296,135.73/x
  3. Step 3: Cross multiply
    417,038.49x = 575,461.62 × 296,135.73
  4. Step 4: Simplify right side
    417,038.49x = 170,414,746,925.68
  5. Step 5: Solve for x
    x = 170,414,746,925.68/417,038.49
  6. Step 6: Final answer
    x = 408,630.74

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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.