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Finding the Fourth Proportional to 488,894.10, 732,466.35 and 413,661.30

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Solution

The fourth proportional to 488,894.10, 732,466.35 and 413,661.30 is: 619,751.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,894.10 : 732,466.35 = 413,661.30 : x
  2. Step 2: Convert to fraction form
    488,894.10/732,466.35 = 413,661.30/x
  3. Step 3: Cross multiply
    488,894.10x = 732,466.35 × 413,661.30
  4. Step 4: Simplify right side
    488,894.10x = 302,992,982,547.26
  5. Step 5: Solve for x
    x = 302,992,982,547.26/488,894.10
  6. Step 6: Final answer
    x = 619,751.77

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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.