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Finding the Fourth Proportional to 365,209.65, 547,814.48 and 98,970.15

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Solution

The fourth proportional to 365,209.65, 547,814.48 and 98,970.15 is: 148,455.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,209.65 : 547,814.48 = 98,970.15 : x
  2. Step 2: Convert to fraction form
    365,209.65/547,814.48 = 98,970.15/x
  3. Step 3: Cross multiply
    365,209.65x = 547,814.48 × 98,970.15
  4. Step 4: Simplify right side
    365,209.65x = 54,217,281,257.77
  5. Step 5: Solve for x
    x = 54,217,281,257.77/365,209.65
  6. Step 6: Final answer
    x = 148,455.23

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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.