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Finding the Fourth Proportional to 219,031.40, 328,547.10 and 52,819.40

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Solution

The fourth proportional to 219,031.40, 328,547.10 and 52,819.40 is: 79,229.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,031.40 : 328,547.10 = 52,819.40 : x
  2. Step 2: Convert to fraction form
    219,031.40/328,547.10 = 52,819.40/x
  3. Step 3: Cross multiply
    219,031.40x = 328,547.10 × 52,819.40
  4. Step 4: Simplify right side
    219,031.40x = 17,353,660,693.74
  5. Step 5: Solve for x
    x = 17,353,660,693.74/219,031.40
  6. Step 6: Final answer
    x = 79,229.10

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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.