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Finding the Fourth Proportional to 412,368.30, 618,552.45 and 318,941.10

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Solution

The fourth proportional to 412,368.30, 618,552.45 and 318,941.10 is: 478,411.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,368.30 : 618,552.45 = 318,941.10 : x
  2. Step 2: Convert to fraction form
    412,368.30/618,552.45 = 318,941.10/x
  3. Step 3: Cross multiply
    412,368.30x = 618,552.45 × 318,941.10
  4. Step 4: Simplify right side
    412,368.30x = 197,281,798,810.70
  5. Step 5: Solve for x
    x = 197,281,798,810.70/412,368.30
  6. Step 6: Final answer
    x = 478,411.65

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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.