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Finding the Fourth Proportional to 853,678.64, 1,178,076.13 and 471,702.08

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Solution

The fourth proportional to 853,678.64, 1,178,076.13 and 471,702.08 is: 650,948.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    853,678.64 : 1,178,076.13 = 471,702.08 : x
  2. Step 2: Convert to fraction form
    853,678.64/1,178,076.13 = 471,702.08/x
  3. Step 3: Cross multiply
    853,678.64x = 1,178,076.13 × 471,702.08
  4. Step 4: Simplify right side
    853,678.64x = 555,700,953,849.72
  5. Step 5: Solve for x
    x = 555,700,953,849.72/853,678.64
  6. Step 6: Final answer
    x = 650,948.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.