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Finding the Fourth Proportional to 473,999.60, 710,740.20 and 193,199.60

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Solution

The fourth proportional to 473,999.60, 710,740.20 and 193,199.60 is: 289,693.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,999.60 : 710,740.20 = 193,199.60 : x
  2. Step 2: Convert to fraction form
    473,999.60/710,740.20 = 193,199.60/x
  3. Step 3: Cross multiply
    473,999.60x = 710,740.20 × 193,199.60
  4. Step 4: Simplify right side
    473,999.60x = 137,314,722,343.92
  5. Step 5: Solve for x
    x = 137,314,722,343.92/473,999.60
  6. Step 6: Final answer
    x = 289,693.75

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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.