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Finding the Fourth Proportional to 653,923.98, 902,855.45 and 584,798.96

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Solution

The fourth proportional to 653,923.98, 902,855.45 and 584,798.96 is: 807,416.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,923.98 : 902,855.45 = 584,798.96 : x
  2. Step 2: Convert to fraction form
    653,923.98/902,855.45 = 584,798.96/x
  3. Step 3: Cross multiply
    653,923.98x = 902,855.45 × 584,798.96
  4. Step 4: Simplify right side
    653,923.98x = 527,988,931,909.47
  5. Step 5: Solve for x
    x = 527,988,931,909.47/653,923.98
  6. Step 6: Final answer
    x = 807,416.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.