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Finding the Fourth Proportional to 415,341.48, 622,746.06 and 175,390.38

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Solution

The fourth proportional to 415,341.48, 622,746.06 and 175,390.38 is: 262,973.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,341.48 : 622,746.06 = 175,390.38 : x
  2. Step 2: Convert to fraction form
    415,341.48/622,746.06 = 175,390.38/x
  3. Step 3: Cross multiply
    415,341.48x = 622,746.06 × 175,390.38
  4. Step 4: Simplify right side
    415,341.48x = 109,223,668,106.90
  5. Step 5: Solve for x
    x = 109,223,668,106.90/415,341.48
  6. Step 6: Final answer
    x = 262,973.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.