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Finding the Fourth Proportional to 375,472.16, 562,689.84 and 305,488.16

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Solution

The fourth proportional to 375,472.16, 562,689.84 and 305,488.16 is: 457,810.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,472.16 : 562,689.84 = 305,488.16 : x
  2. Step 2: Convert to fraction form
    375,472.16/562,689.84 = 305,488.16/x
  3. Step 3: Cross multiply
    375,472.16x = 562,689.84 × 305,488.16
  4. Step 4: Simplify right side
    375,472.16x = 171,895,083,872.29
  5. Step 5: Solve for x
    x = 171,895,083,872.29/375,472.16
  6. Step 6: Final answer
    x = 457,810.46

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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.