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Finding the Fourth Proportional to 617,430.90, 852,094.17 and 345,530.10

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Solution

The fourth proportional to 617,430.90, 852,094.17 and 345,530.10 is: 476,853.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    617,430.90 : 852,094.17 = 345,530.10 : x
  2. Step 2: Convert to fraction form
    617,430.90/852,094.17 = 345,530.10/x
  3. Step 3: Cross multiply
    617,430.90x = 852,094.17 × 345,530.10
  4. Step 4: Simplify right side
    617,430.90x = 294,424,183,769.52
  5. Step 5: Solve for x
    x = 294,424,183,769.52/617,430.90
  6. Step 6: Final answer
    x = 476,853.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.