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Finding the Fourth Proportional to 288,502.74, 432,710.33 and 101,470.50

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Solution

The fourth proportional to 288,502.74, 432,710.33 and 101,470.50 is: 152,190.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,502.74 : 432,710.33 = 101,470.50 : x
  2. Step 2: Convert to fraction form
    288,502.74/432,710.33 = 101,470.50/x
  3. Step 3: Cross multiply
    288,502.74x = 432,710.33 × 101,470.50
  4. Step 4: Simplify right side
    288,502.74x = 43,907,333,032.91
  5. Step 5: Solve for x
    x = 43,907,333,032.91/288,502.74
  6. Step 6: Final answer
    x = 152,190.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.