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Finding the Fourth Proportional to 385,514.40, 578,271.60 and 148,864.80

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Solution

The fourth proportional to 385,514.40, 578,271.60 and 148,864.80 is: 223,297.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,514.40 : 578,271.60 = 148,864.80 : x
  2. Step 2: Convert to fraction form
    385,514.40/578,271.60 = 148,864.80/x
  3. Step 3: Cross multiply
    385,514.40x = 578,271.60 × 148,864.80
  4. Step 4: Simplify right side
    385,514.40x = 86,084,286,079.68
  5. Step 5: Solve for x
    x = 86,084,286,079.68/385,514.40
  6. Step 6: Final answer
    x = 223,297.20

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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.