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Finding the Fourth Proportional to 564,263.55, 845,411.13 and 470,098.62

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Solution

The fourth proportional to 564,263.55, 845,411.13 and 470,098.62 is: 704,327.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,263.55 : 845,411.13 = 470,098.62 : x
  2. Step 2: Convert to fraction form
    564,263.55/845,411.13 = 470,098.62/x
  3. Step 3: Cross multiply
    564,263.55x = 845,411.13 × 470,098.62
  4. Step 4: Simplify right side
    564,263.55x = 397,426,605,545.64
  5. Step 5: Solve for x
    x = 397,426,605,545.64/564,263.55
  6. Step 6: Final answer
    x = 704,327.98

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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.