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Finding the Fourth Proportional to 261,506.88, 360,831.51 and 175,590.59

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Solution

The fourth proportional to 261,506.88, 360,831.51 and 175,590.59 is: 242,282.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,506.88 : 360,831.51 = 175,590.59 : x
  2. Step 2: Convert to fraction form
    261,506.88/360,831.51 = 175,590.59/x
  3. Step 3: Cross multiply
    261,506.88x = 360,831.51 × 175,590.59
  4. Step 4: Simplify right side
    261,506.88x = 63,358,615,927.33
  5. Step 5: Solve for x
    x = 63,358,615,927.33/261,506.88
  6. Step 6: Final answer
    x = 242,282.79

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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.