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Finding the Fourth Proportional to 564,880.47, 847,320 and 144,156.36

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Solution

The fourth proportional to 564,880.47, 847,320 and 144,156.36 is: 216,234.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,880.47 : 847,320 = 144,156.36 : x
  2. Step 2: Convert to fraction form
    564,880.47/847,320 = 144,156.36/x
  3. Step 3: Cross multiply
    564,880.47x = 847,320 × 144,156.36
  4. Step 4: Simplify right side
    564,880.47x = 122,146,566,955.20
  5. Step 5: Solve for x
    x = 122,146,566,955.20/564,880.47
  6. Step 6: Final answer
    x = 216,234.36

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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.