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Finding the Fourth Proportional to 417,026.33, 575,444.81 and 296,123.50

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Solution

The fourth proportional to 417,026.33, 575,444.81 and 296,123.50 is: 408,613.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,026.33 : 575,444.81 = 296,123.50 : x
  2. Step 2: Convert to fraction form
    417,026.33/575,444.81 = 296,123.50/x
  3. Step 3: Cross multiply
    417,026.33x = 575,444.81 × 296,123.50
  4. Step 4: Simplify right side
    417,026.33x = 170,402,730,495.73
  5. Step 5: Solve for x
    x = 170,402,730,495.73/417,026.33
  6. Step 6: Final answer
    x = 408,613.85

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.