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Finding the Fourth Proportional to 506,427.35, 698,792.12 and 291,525.89

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Solution

The fourth proportional to 506,427.35, 698,792.12 and 291,525.89 is: 402,261.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,427.35 : 698,792.12 = 291,525.89 : x
  2. Step 2: Convert to fraction form
    506,427.35/698,792.12 = 291,525.89/x
  3. Step 3: Cross multiply
    506,427.35x = 698,792.12 × 291,525.89
  4. Step 4: Simplify right side
    506,427.35x = 203,715,994,997.34
  5. Step 5: Solve for x
    x = 203,715,994,997.34/506,427.35
  6. Step 6: Final answer
    x = 402,261.04

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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.