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Finding the Fourth Proportional to 536,292.56, 803,214.12 and 256,006.64

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Solution

The fourth proportional to 536,292.56, 803,214.12 and 256,006.64 is: 383,425.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,292.56 : 803,214.12 = 256,006.64 : x
  2. Step 2: Convert to fraction form
    536,292.56/803,214.12 = 256,006.64/x
  3. Step 3: Cross multiply
    536,292.56x = 803,214.12 × 256,006.64
  4. Step 4: Simplify right side
    536,292.56x = 205,628,148,061.76
  5. Step 5: Solve for x
    x = 205,628,148,061.76/536,292.56
  6. Step 6: Final answer
    x = 383,425.32

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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.