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Finding the Fourth Proportional to 509,276.16, 760,176 and 471,744

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Solution

The fourth proportional to 509,276.16, 760,176 and 471,744 is: 704,153.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,276.16 : 760,176 = 471,744 : x
  2. Step 2: Convert to fraction form
    509,276.16/760,176 = 471,744/x
  3. Step 3: Cross multiply
    509,276.16x = 760,176 × 471,744
  4. Step 4: Simplify right side
    509,276.16x = 358,608,466,944
  5. Step 5: Solve for x
    x = 358,608,466,944/509,276.16
  6. Step 6: Final answer
    x = 704,153.26

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.