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Finding the Fourth Proportional to 319,077.66, 478,587.33 and 97,461.66

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Solution

The fourth proportional to 319,077.66, 478,587.33 and 97,461.66 is: 146,183.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,077.66 : 478,587.33 = 97,461.66 : x
  2. Step 2: Convert to fraction form
    319,077.66/478,587.33 = 97,461.66/x
  3. Step 3: Cross multiply
    319,077.66x = 478,587.33 × 97,461.66
  4. Step 4: Simplify right side
    319,077.66x = 46,643,915,636.77
  5. Step 5: Solve for x
    x = 46,643,915,636.77/319,077.66
  6. Step 6: Final answer
    x = 146,183.58

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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.