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Finding the Fourth Proportional to 415,880.65, 623,386.81 and 301,752.73

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Solution

The fourth proportional to 415,880.65, 623,386.81 and 301,752.73 is: 452,314.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,880.65 : 623,386.81 = 301,752.73 : x
  2. Step 2: Convert to fraction form
    415,880.65/623,386.81 = 301,752.73/x
  3. Step 3: Cross multiply
    415,880.65x = 623,386.81 × 301,752.73
  4. Step 4: Simplify right side
    415,880.65x = 188,108,671,763.49
  5. Step 5: Solve for x
    x = 188,108,671,763.49/415,880.65
  6. Step 6: Final answer
    x = 452,314.08

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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.