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Finding the Fourth Proportional to 471,830.40, 662,428.80 and 471,830.40

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Solution

The fourth proportional to 471,830.40, 662,428.80 and 471,830.40 is: 662,428.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,830.40 : 662,428.80 = 471,830.40 : x
  2. Step 2: Convert to fraction form
    471,830.40/662,428.80 = 471,830.40/x
  3. Step 3: Cross multiply
    471,830.40x = 662,428.80 × 471,830.40
  4. Step 4: Simplify right side
    471,830.40x = 312,554,045,675.52
  5. Step 5: Solve for x
    x = 312,554,045,675.52/471,830.40
  6. Step 6: Final answer
    x = 662,428.80

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.