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Finding the Fourth Proportional to 360,212.56, 497,079.28 and 207,300

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Solution

The fourth proportional to 360,212.56, 497,079.28 and 207,300 is: 286,065.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,212.56 : 497,079.28 = 207,300 : x
  2. Step 2: Convert to fraction form
    360,212.56/497,079.28 = 207,300/x
  3. Step 3: Cross multiply
    360,212.56x = 497,079.28 × 207,300
  4. Step 4: Simplify right side
    360,212.56x = 103,044,534,744
  5. Step 5: Solve for x
    x = 103,044,534,744/360,212.56
  6. Step 6: Final answer
    x = 286,065.91

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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.