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Finding the Fourth Proportional to 473,010.66, 652,462.80 and 337,088.16

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Solution

The fourth proportional to 473,010.66, 652,462.80 and 337,088.16 is: 464,973.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,010.66 : 652,462.80 = 337,088.16 : x
  2. Step 2: Convert to fraction form
    473,010.66/652,462.80 = 337,088.16/x
  3. Step 3: Cross multiply
    473,010.66x = 652,462.80 × 337,088.16
  4. Step 4: Simplify right side
    473,010.66x = 219,937,484,720.45
  5. Step 5: Solve for x
    x = 219,937,484,720.45/473,010.66
  6. Step 6: Final answer
    x = 464,973.63

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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.