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Finding the Fourth Proportional to 584,784, 807,153.12 and 381,342.24

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Solution

The fourth proportional to 584,784, 807,153.12 and 381,342.24 is: 526,350.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,784 : 807,153.12 = 381,342.24 : x
  2. Step 2: Convert to fraction form
    584,784/807,153.12 = 381,342.24/x
  3. Step 3: Cross multiply
    584,784x = 807,153.12 × 381,342.24
  4. Step 4: Simplify right side
    584,784x = 307,801,578,803.79
  5. Step 5: Solve for x
    x = 307,801,578,803.79/584,784
  6. Step 6: Final answer
    x = 526,350.89

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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.