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Finding the Fourth Proportional to 616,931.31, 851,349.22 and 341,299.34

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Solution

The fourth proportional to 616,931.31, 851,349.22 and 341,299.34 is: 470,984.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    616,931.31 : 851,349.22 = 341,299.34 : x
  2. Step 2: Convert to fraction form
    616,931.31/851,349.22 = 341,299.34/x
  3. Step 3: Cross multiply
    616,931.31x = 851,349.22 × 341,299.34
  4. Step 4: Simplify right side
    616,931.31x = 290,564,927,372.50
  5. Step 5: Solve for x
    x = 290,564,927,372.50/616,931.31
  6. Step 6: Final answer
    x = 470,984.25

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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.