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Finding the Fourth Proportional to 382,275.28, 573,482.04 and 157,510.68

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Solution

The fourth proportional to 382,275.28, 573,482.04 and 157,510.68 is: 236,294.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,275.28 : 573,482.04 = 157,510.68 : x
  2. Step 2: Convert to fraction form
    382,275.28/573,482.04 = 157,510.68/x
  3. Step 3: Cross multiply
    382,275.28x = 573,482.04 × 157,510.68
  4. Step 4: Simplify right side
    382,275.28x = 90,329,546,088.19
  5. Step 5: Solve for x
    x = 90,329,546,088.19/382,275.28
  6. Step 6: Final answer
    x = 236,294.50

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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.