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Finding the Fourth Proportional to 514,419.36, 710,084.88 and 418,759.98

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Solution

The fourth proportional to 514,419.36, 710,084.88 and 418,759.98 is: 578,040.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,419.36 : 710,084.88 = 418,759.98 : x
  2. Step 2: Convert to fraction form
    514,419.36/710,084.88 = 418,759.98/x
  3. Step 3: Cross multiply
    514,419.36x = 710,084.88 × 418,759.98
  4. Step 4: Simplify right side
    514,419.36x = 297,355,130,147.10
  5. Step 5: Solve for x
    x = 297,355,130,147.10/514,419.36
  6. Step 6: Final answer
    x = 578,040.32

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1.5x scale

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.