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Finding the Fourth Proportional to 288,192.28, 432,145.40 and 98,599

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Solution

The fourth proportional to 288,192.28, 432,145.40 and 98,599 is: 147,849.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,192.28 : 432,145.40 = 98,599 : x
  2. Step 2: Convert to fraction form
    288,192.28/432,145.40 = 98,599/x
  3. Step 3: Cross multiply
    288,192.28x = 432,145.40 × 98,599
  4. Step 4: Simplify right side
    288,192.28x = 42,609,104,294.60
  5. Step 5: Solve for x
    x = 42,609,104,294.60/288,192.28
  6. Step 6: Final answer
    x = 147,849.57

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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.