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Finding the Fourth Proportional to 632,223.38, 872,547.97 and 414,615.06

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Solution

The fourth proportional to 632,223.38, 872,547.97 and 414,615.06 is: 572,221.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    632,223.38 : 872,547.97 = 414,615.06 : x
  2. Step 2: Convert to fraction form
    632,223.38/872,547.97 = 414,615.06/x
  3. Step 3: Cross multiply
    632,223.38x = 872,547.97 × 414,615.06
  4. Step 4: Simplify right side
    632,223.38x = 361,771,528,934.43
  5. Step 5: Solve for x
    x = 361,771,528,934.43/632,223.38
  6. Step 6: Final answer
    x = 572,221.05

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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.