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Finding the Fourth Proportional to 319,030.60, 478,518.90 and 97,414.60

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Solution

The fourth proportional to 319,030.60, 478,518.90 and 97,414.60 is: 146,113.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,030.60 : 478,518.90 = 97,414.60 : x
  2. Step 2: Convert to fraction form
    319,030.60/478,518.90 = 97,414.60/x
  3. Step 3: Cross multiply
    319,030.60x = 478,518.90 × 97,414.60
  4. Step 4: Simplify right side
    319,030.60x = 46,614,727,235.94
  5. Step 5: Solve for x
    x = 46,614,727,235.94/319,030.60
  6. Step 6: Final answer
    x = 146,113.66

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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.