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Finding the Fourth Proportional to 369,077.01, 509,323.95 and 207,983.80

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Solution

The fourth proportional to 369,077.01, 509,323.95 and 207,983.80 is: 287,016.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,077.01 : 509,323.95 = 207,983.80 : x
  2. Step 2: Convert to fraction form
    369,077.01/509,323.95 = 207,983.80/x
  3. Step 3: Cross multiply
    369,077.01x = 509,323.95 × 207,983.80
  4. Step 4: Simplify right side
    369,077.01x = 105,931,130,552.01
  5. Step 5: Solve for x
    x = 105,931,130,552.01/369,077.01
  6. Step 6: Final answer
    x = 287,016.33

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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.