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Finding the Fourth Proportional to 473,843.60, 710,506.20 and 193,043.60

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Solution

The fourth proportional to 473,843.60, 710,506.20 and 193,043.60 is: 289,459.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,843.60 : 710,506.20 = 193,043.60 : x
  2. Step 2: Convert to fraction form
    473,843.60/710,506.20 = 193,043.60/x
  3. Step 3: Cross multiply
    473,843.60x = 710,506.20 × 193,043.60
  4. Step 4: Simplify right side
    473,843.60x = 137,158,674,670.32
  5. Step 5: Solve for x
    x = 137,158,674,670.32/473,843.60
  6. Step 6: Final answer
    x = 289,459.80

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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.