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Finding the Fourth Proportional to 459,374.10, 687,117.15 and 412,329.30

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Solution

The fourth proportional to 459,374.10, 687,117.15 and 412,329.30 is: 616,749.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,374.10 : 687,117.15 = 412,329.30 : x
  2. Step 2: Convert to fraction form
    459,374.10/687,117.15 = 412,329.30/x
  3. Step 3: Cross multiply
    459,374.10x = 687,117.15 × 412,329.30
  4. Step 4: Simplify right side
    459,374.10x = 283,318,533,477.50
  5. Step 5: Solve for x
    x = 283,318,533,477.50/459,374.10
  6. Step 6: Final answer
    x = 616,749.04

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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.