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Finding the Fourth Proportional to 514,819.08, 710,421.30 and 299,994.12

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Solution

The fourth proportional to 514,819.08, 710,421.30 and 299,994.12 is: 413,974.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,819.08 : 710,421.30 = 299,994.12 : x
  2. Step 2: Convert to fraction form
    514,819.08/710,421.30 = 299,994.12/x
  3. Step 3: Cross multiply
    514,819.08x = 710,421.30 × 299,994.12
  4. Step 4: Simplify right side
    514,819.08x = 213,122,212,722.76
  5. Step 5: Solve for x
    x = 213,122,212,722.76/514,819.08
  6. Step 6: Final answer
    x = 413,974.97

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.