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Finding the Fourth Proportional to 411,471.16, 616,210.08 and 284,756.32

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Solution

The fourth proportional to 411,471.16, 616,210.08 and 284,756.32 is: 426,444.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,471.16 : 616,210.08 = 284,756.32 : x
  2. Step 2: Convert to fraction form
    411,471.16/616,210.08 = 284,756.32/x
  3. Step 3: Cross multiply
    411,471.16x = 616,210.08 × 284,756.32
  4. Step 4: Simplify right side
    411,471.16x = 175,469,714,727.71
  5. Step 5: Solve for x
    x = 175,469,714,727.71/411,471.16
  6. Step 6: Final answer
    x = 426,444.75

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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.