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Finding the Fourth Proportional to 563,523, 845,333.70 and 142,798.90

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Solution

The fourth proportional to 563,523, 845,333.70 and 142,798.90 is: 214,210.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,523 : 845,333.70 = 142,798.90 : x
  2. Step 2: Convert to fraction form
    563,523/845,333.70 = 142,798.90/x
  3. Step 3: Cross multiply
    563,523x = 845,333.70 × 142,798.90
  4. Step 4: Simplify right side
    563,523x = 120,712,722,492.93
  5. Step 5: Solve for x
    x = 120,712,722,492.93/563,523
  6. Step 6: Final answer
    x = 214,210.82

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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.