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Finding the Fourth Proportional to 471,254.80, 705,715.80 and 302,515.60

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Solution

The fourth proportional to 471,254.80, 705,715.80 and 302,515.60 is: 453,024.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,254.80 : 705,715.80 = 302,515.60 : x
  2. Step 2: Convert to fraction form
    471,254.80/705,715.80 = 302,515.60/x
  3. Step 3: Cross multiply
    471,254.80x = 705,715.80 × 302,515.60
  4. Step 4: Simplify right side
    471,254.80x = 213,490,038,666.48
  5. Step 5: Solve for x
    x = 213,490,038,666.48/471,254.80
  6. Step 6: Final answer
    x = 453,024.65

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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.