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Finding the Fourth Proportional to 334,953, 462,120.72 and 207,582.12

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Solution

The fourth proportional to 334,953, 462,120.72 and 207,582.12 is: 286,392.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,953 : 462,120.72 = 207,582.12 : x
  2. Step 2: Convert to fraction form
    334,953/462,120.72 = 207,582.12/x
  3. Step 3: Cross multiply
    334,953x = 462,120.72 × 207,582.12
  4. Step 4: Simplify right side
    334,953x = 95,927,998,753.53
  5. Step 5: Solve for x
    x = 95,927,998,753.53/334,953
  6. Step 6: Final answer
    x = 286,392.42

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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.