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Finding the Fourth Proportional to 257,031.60, 385,547.40 and 212,794.80

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Solution

The fourth proportional to 257,031.60, 385,547.40 and 212,794.80 is: 319,192.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,031.60 : 385,547.40 = 212,794.80 : x
  2. Step 2: Convert to fraction form
    257,031.60/385,547.40 = 212,794.80/x
  3. Step 3: Cross multiply
    257,031.60x = 385,547.40 × 212,794.80
  4. Step 4: Simplify right side
    257,031.60x = 82,042,481,873.52
  5. Step 5: Solve for x
    x = 82,042,481,873.52/257,031.60
  6. Step 6: Final answer
    x = 319,192.20

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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.