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Finding the Fourth Proportional to 657,097.80, 985,646.70 and 457,643.40

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Solution

The fourth proportional to 657,097.80, 985,646.70 and 457,643.40 is: 686,465.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,097.80 : 985,646.70 = 457,643.40 : x
  2. Step 2: Convert to fraction form
    657,097.80/985,646.70 = 457,643.40/x
  3. Step 3: Cross multiply
    657,097.80x = 985,646.70 × 457,643.40
  4. Step 4: Simplify right side
    657,097.80x = 451,074,706,986.78
  5. Step 5: Solve for x
    x = 451,074,706,986.78/657,097.80
  6. Step 6: Final answer
    x = 686,465.10

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Similar ratio
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1.5x scale

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.