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Finding the Fourth Proportional to 260,897.68, 360,763.54 and 207,089.28

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Solution

The fourth proportional to 260,897.68, 360,763.54 and 207,089.28 is: 286,358.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,897.68 : 360,763.54 = 207,089.28 : x
  2. Step 2: Convert to fraction form
    260,897.68/360,763.54 = 207,089.28/x
  3. Step 3: Cross multiply
    260,897.68x = 360,763.54 × 207,089.28
  4. Step 4: Simplify right side
    260,897.68x = 74,710,261,748.85
  5. Step 5: Solve for x
    x = 74,710,261,748.85/260,897.68
  6. Step 6: Final answer
    x = 286,358.47

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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.