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Finding the Fourth Proportional to 288,504.74, 432,713.32 and 101,472.50

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Solution

The fourth proportional to 288,504.74, 432,713.32 and 101,472.50 is: 152,193.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,504.74 : 432,713.32 = 101,472.50 : x
  2. Step 2: Convert to fraction form
    288,504.74/432,713.32 = 101,472.50/x
  3. Step 3: Cross multiply
    288,504.74x = 432,713.32 × 101,472.50
  4. Step 4: Simplify right side
    288,504.74x = 43,908,502,363.70
  5. Step 5: Solve for x
    x = 43,908,502,363.70/288,504.74
  6. Step 6: Final answer
    x = 152,193.35

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1.5x scale

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.