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Finding the Fourth Proportional to 461,492.14, 636,891.12 and 257,582.84

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Solution

The fourth proportional to 461,492.14, 636,891.12 and 257,582.84 is: 355,482.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,492.14 : 636,891.12 = 257,582.84 : x
  2. Step 2: Convert to fraction form
    461,492.14/636,891.12 = 257,582.84/x
  3. Step 3: Cross multiply
    461,492.14x = 636,891.12 × 257,582.84
  4. Step 4: Simplify right side
    461,492.14x = 164,052,223,460.38
  5. Step 5: Solve for x
    x = 164,052,223,460.38/461,492.14
  6. Step 6: Final answer
    x = 355,482.16

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.