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Finding the Fourth Proportional to 313,812.30, 470,718.46 and 301,565.10

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Solution

The fourth proportional to 313,812.30, 470,718.46 and 301,565.10 is: 452,347.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,812.30 : 470,718.46 = 301,565.10 : x
  2. Step 2: Convert to fraction form
    313,812.30/470,718.46 = 301,565.10/x
  3. Step 3: Cross multiply
    313,812.30x = 470,718.46 × 301,565.10
  4. Step 4: Simplify right side
    313,812.30x = 141,952,259,461.75
  5. Step 5: Solve for x
    x = 141,952,259,461.75/313,812.30
  6. Step 6: Final answer
    x = 452,347.66

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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.