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Finding the Fourth Proportional to 287,712.30, 431,568.45 and 147,744.30

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Solution

The fourth proportional to 287,712.30, 431,568.45 and 147,744.30 is: 221,616.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,712.30 : 431,568.45 = 147,744.30 : x
  2. Step 2: Convert to fraction form
    287,712.30/431,568.45 = 147,744.30/x
  3. Step 3: Cross multiply
    287,712.30x = 431,568.45 × 147,744.30
  4. Step 4: Simplify right side
    287,712.30x = 63,761,778,547.34
  5. Step 5: Solve for x
    x = 63,761,778,547.34/287,712.30
  6. Step 6: Final answer
    x = 221,616.45

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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.