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Finding the Fourth Proportional to 506,461.56, 698,939.38 and 291,670.82

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Solution

The fourth proportional to 506,461.56, 698,939.38 and 291,670.82 is: 402,518.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,461.56 : 698,939.38 = 291,670.82 : x
  2. Step 2: Convert to fraction form
    506,461.56/698,939.38 = 291,670.82/x
  3. Step 3: Cross multiply
    506,461.56x = 698,939.38 × 291,670.82
  4. Step 4: Simplify right side
    506,461.56x = 203,860,225,517.34
  5. Step 5: Solve for x
    x = 203,860,225,517.34/506,461.56
  6. Step 6: Final answer
    x = 402,518.65

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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.