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Finding the Fourth Proportional to 459,153.60, 687,369.60 and 341,347.20

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Solution

The fourth proportional to 459,153.60, 687,369.60 and 341,347.20 is: 511,009.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,153.60 : 687,369.60 = 341,347.20 : x
  2. Step 2: Convert to fraction form
    459,153.60/687,369.60 = 341,347.20/x
  3. Step 3: Cross multiply
    459,153.60x = 687,369.60 × 341,347.20
  4. Step 4: Simplify right side
    459,153.60x = 234,631,688,325.12
  5. Step 5: Solve for x
    x = 234,631,688,325.12/459,153.60
  6. Step 6: Final answer
    x = 511,009.14

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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.