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Finding the Fourth Proportional to 522,304, 716,085.38 and 512,856.16

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Solution

The fourth proportional to 522,304, 716,085.38 and 512,856.16 is: 703,132.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,304 : 716,085.38 = 512,856.16 : x
  2. Step 2: Convert to fraction form
    522,304/716,085.38 = 512,856.16/x
  3. Step 3: Cross multiply
    522,304x = 716,085.38 × 512,856.16
  4. Step 4: Simplify right side
    522,304x = 367,248,798,218.94
  5. Step 5: Solve for x
    x = 367,248,798,218.94/522,304
  6. Step 6: Final answer
    x = 703,132.27

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.