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Finding the Fourth Proportional to 489,124.30, 732,811.65 and 301,917.10

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Solution

The fourth proportional to 489,124.30, 732,811.65 and 301,917.10 is: 452,335.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,124.30 : 732,811.65 = 301,917.10 : x
  2. Step 2: Convert to fraction form
    489,124.30/732,811.65 = 301,917.10/x
  3. Step 3: Cross multiply
    489,124.30x = 732,811.65 × 301,917.10
  4. Step 4: Simplify right side
    489,124.30x = 221,248,368,214.22
  5. Step 5: Solve for x
    x = 221,248,368,214.22/489,124.30
  6. Step 6: Final answer
    x = 452,335.67

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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.