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Finding the Fourth Proportional to 287,592.30, 431,388.45 and 147,624.30

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Solution

The fourth proportional to 287,592.30, 431,388.45 and 147,624.30 is: 221,436.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,592.30 : 431,388.45 = 147,624.30 : x
  2. Step 2: Convert to fraction form
    287,592.30/431,388.45 = 147,624.30/x
  3. Step 3: Cross multiply
    287,592.30x = 431,388.45 × 147,624.30
  4. Step 4: Simplify right side
    287,592.30x = 63,683,417,959.34
  5. Step 5: Solve for x
    x = 63,683,417,959.34/287,592.30
  6. Step 6: Final answer
    x = 221,436.45

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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.