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Finding the Fourth Proportional to 472,064.16, 708,095.57 and 219,206.38

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Solution

The fourth proportional to 472,064.16, 708,095.57 and 219,206.38 is: 328,809.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,064.16 : 708,095.57 = 219,206.38 : x
  2. Step 2: Convert to fraction form
    472,064.16/708,095.57 = 219,206.38/x
  3. Step 3: Cross multiply
    472,064.16x = 708,095.57 × 219,206.38
  4. Step 4: Simplify right side
    472,064.16x = 155,219,066,593.74
  5. Step 5: Solve for x
    x = 155,219,066,593.74/472,064.16
  6. Step 6: Final answer
    x = 328,809.26

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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.