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Finding the Fourth Proportional to 684,159, 944,168.58 and 382,353

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Solution

The fourth proportional to 684,159, 944,168.58 and 382,353 is: 527,663.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    684,159 : 944,168.58 = 382,353 : x
  2. Step 2: Convert to fraction form
    684,159/944,168.58 = 382,353/x
  3. Step 3: Cross multiply
    684,159x = 944,168.58 × 382,353
  4. Step 4: Simplify right side
    684,159x = 361,005,689,068.74
  5. Step 5: Solve for x
    x = 361,005,689,068.74/684,159
  6. Step 6: Final answer
    x = 527,663.44

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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.