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Finding the Fourth Proportional to 575,377, 863,034.18 and 176,017.77

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Solution

The fourth proportional to 575,377, 863,034.18 and 176,017.77 is: 264,017.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    575,377 : 863,034.18 = 176,017.77 : x
  2. Step 2: Convert to fraction form
    575,377/863,034.18 = 176,017.77/x
  3. Step 3: Cross multiply
    575,377x = 863,034.18 × 176,017.77
  4. Step 4: Simplify right side
    575,377x = 151,909,351,797.38
  5. Step 5: Solve for x
    x = 151,909,351,797.38/575,377
  6. Step 6: Final answer
    x = 264,017.07

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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.