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Finding the Fourth Proportional to 459,716.40, 688,019.40 and 403,729.20

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Solution

The fourth proportional to 459,716.40, 688,019.40 and 403,729.20 is: 604,228.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,716.40 : 688,019.40 = 403,729.20 : x
  2. Step 2: Convert to fraction form
    459,716.40/688,019.40 = 403,729.20/x
  3. Step 3: Cross multiply
    459,716.40x = 688,019.40 × 403,729.20
  4. Step 4: Simplify right side
    459,716.40x = 277,773,521,946.48
  5. Step 5: Solve for x
    x = 277,773,521,946.48/459,716.40
  6. Step 6: Final answer
    x = 604,228.00

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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.