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Finding the Fourth Proportional to 600,507.84, 827,748 and 472,981.44

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Solution

The fourth proportional to 600,507.84, 827,748 and 472,981.44 is: 651,963.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    600,507.84 : 827,748 = 472,981.44 : x
  2. Step 2: Convert to fraction form
    600,507.84/827,748 = 472,981.44/x
  3. Step 3: Cross multiply
    600,507.84x = 827,748 × 472,981.44
  4. Step 4: Simplify right side
    600,507.84x = 391,509,440,997.12
  5. Step 5: Solve for x
    x = 391,509,440,997.12/600,507.84
  6. Step 6: Final answer
    x = 651,963.91

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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.