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Finding the Fourth Proportional to 853,309.52, 1,177,544.64 and 471,328.10

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Solution

The fourth proportional to 853,309.52, 1,177,544.64 and 471,328.10 is: 650,420.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    853,309.52 : 1,177,544.64 = 471,328.10 : x
  2. Step 2: Convert to fraction form
    853,309.52/1,177,544.64 = 471,328.10/x
  3. Step 3: Cross multiply
    853,309.52x = 1,177,544.64 × 471,328.10
  4. Step 4: Simplify right side
    853,309.52x = 555,009,877,836.38
  5. Step 5: Solve for x
    x = 555,009,877,836.38/853,309.52
  6. Step 6: Final answer
    x = 650,420.35

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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.