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Finding the Fourth Proportional to 432,102.61, 596,301.65 and 238,510.38

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Solution

The fourth proportional to 432,102.61, 596,301.65 and 238,510.38 is: 329,144.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,102.61 : 596,301.65 = 238,510.38 : x
  2. Step 2: Convert to fraction form
    432,102.61/596,301.65 = 238,510.38/x
  3. Step 3: Cross multiply
    432,102.61x = 596,301.65 × 238,510.38
  4. Step 4: Simplify right side
    432,102.61x = 142,224,133,136.13
  5. Step 5: Solve for x
    x = 142,224,133,136.13/432,102.61
  6. Step 6: Final answer
    x = 329,144.35

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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.