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Finding the Fourth Proportional to 553,402.70, 830,104.05 and 542,905.10

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Solution

The fourth proportional to 553,402.70, 830,104.05 and 542,905.10 is: 814,357.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,402.70 : 830,104.05 = 542,905.10 : x
  2. Step 2: Convert to fraction form
    553,402.70/830,104.05 = 542,905.10/x
  3. Step 3: Cross multiply
    553,402.70x = 830,104.05 × 542,905.10
  4. Step 4: Simplify right side
    553,402.70x = 450,667,722,275.66
  5. Step 5: Solve for x
    x = 450,667,722,275.66/553,402.70
  6. Step 6: Final answer
    x = 814,357.65

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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.