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Finding the Fourth Proportional to 523,999.70, 785,999.55 and 465,938.90

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Solution

The fourth proportional to 523,999.70, 785,999.55 and 465,938.90 is: 698,908.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,999.70 : 785,999.55 = 465,938.90 : x
  2. Step 2: Convert to fraction form
    523,999.70/785,999.55 = 465,938.90/x
  3. Step 3: Cross multiply
    523,999.70x = 785,999.55 × 465,938.90
  4. Step 4: Simplify right side
    523,999.70x = 366,227,765,727.50
  5. Step 5: Solve for x
    x = 366,227,765,727.50/523,999.70
  6. Step 6: Final answer
    x = 698,908.35

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1.5x scale

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.