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Finding the Fourth Proportional to 506,148.60, 698,451.84 and 291,254

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Solution

The fourth proportional to 506,148.60, 698,451.84 and 291,254 is: 401,911.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,148.60 : 698,451.84 = 291,254 : x
  2. Step 2: Convert to fraction form
    506,148.60/698,451.84 = 291,254/x
  3. Step 3: Cross multiply
    506,148.60x = 698,451.84 × 291,254
  4. Step 4: Simplify right side
    506,148.60x = 203,426,892,207.36
  5. Step 5: Solve for x
    x = 203,426,892,207.36/506,148.60
  6. Step 6: Final answer
    x = 401,911.40

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