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Finding the Fourth Proportional to 465,866.40, 698,799.60 and 465,866.40

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Solution

The fourth proportional to 465,866.40, 698,799.60 and 465,866.40 is: 698,799.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,866.40 : 698,799.60 = 465,866.40 : x
  2. Step 2: Convert to fraction form
    465,866.40/698,799.60 = 465,866.40/x
  3. Step 3: Cross multiply
    465,866.40x = 698,799.60 × 465,866.40
  4. Step 4: Simplify right side
    465,866.40x = 325,547,253,973.44
  5. Step 5: Solve for x
    x = 325,547,253,973.44/465,866.40
  6. Step 6: Final answer
    x = 698,799.60

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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.