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Finding the Fourth Proportional to 458,534.08, 688,520.16 and 388,376.32

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Solution

The fourth proportional to 458,534.08, 688,520.16 and 388,376.32 is: 583,173.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,534.08 : 688,520.16 = 388,376.32 : x
  2. Step 2: Convert to fraction form
    458,534.08/688,520.16 = 388,376.32/x
  3. Step 3: Cross multiply
    458,534.08x = 688,520.16 × 388,376.32
  4. Step 4: Simplify right side
    458,534.08x = 267,404,925,986.61
  5. Step 5: Solve for x
    x = 267,404,925,986.61/458,534.08
  6. Step 6: Final answer
    x = 583,173.50

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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.