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Finding the Fourth Proportional to 459,097.80, 688,646.70 and 456,473.40

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Solution

The fourth proportional to 459,097.80, 688,646.70 and 456,473.40 is: 684,710.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,097.80 : 688,646.70 = 456,473.40 : x
  2. Step 2: Convert to fraction form
    459,097.80/688,646.70 = 456,473.40/x
  3. Step 3: Cross multiply
    459,097.80x = 688,646.70 × 456,473.40
  4. Step 4: Simplify right side
    459,097.80x = 314,348,900,547.78
  5. Step 5: Solve for x
    x = 314,348,900,547.78/459,097.80
  6. Step 6: Final answer
    x = 684,710.10

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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.