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Finding the Fourth Proportional to 459,143.60, 688,715.40 and 429,400.40

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Solution

The fourth proportional to 459,143.60, 688,715.40 and 429,400.40 is: 644,100.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,143.60 : 688,715.40 = 429,400.40 : x
  2. Step 2: Convert to fraction form
    459,143.60/688,715.40 = 429,400.40/x
  3. Step 3: Cross multiply
    459,143.60x = 688,715.40 × 429,400.40
  4. Step 4: Simplify right side
    459,143.60x = 295,734,668,246.16
  5. Step 5: Solve for x
    x = 295,734,668,246.16/459,143.60
  6. Step 6: Final answer
    x = 644,100.60

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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.