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Finding the Fourth Proportional to 473,060, 652,822.80 and 322,420.16

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Solution

The fourth proportional to 473,060, 652,822.80 and 322,420.16 is: 444,939.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,060 : 652,822.80 = 322,420.16 : x
  2. Step 2: Convert to fraction form
    473,060/652,822.80 = 322,420.16/x
  3. Step 3: Cross multiply
    473,060x = 652,822.80 × 322,420.16
  4. Step 4: Simplify right side
    473,060x = 210,483,231,627.65
  5. Step 5: Solve for x
    x = 210,483,231,627.65/473,060
  6. Step 6: Final answer
    x = 444,939.82

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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.