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Finding the Fourth Proportional to 319,132.48, 478,698.72 and 97,514.56

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Solution

The fourth proportional to 319,132.48, 478,698.72 and 97,514.56 is: 146,271.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,132.48 : 478,698.72 = 97,514.56 : x
  2. Step 2: Convert to fraction form
    319,132.48/478,698.72 = 97,514.56/x
  3. Step 3: Cross multiply
    319,132.48x = 478,698.72 × 97,514.56
  4. Step 4: Simplify right side
    319,132.48x = 46,680,095,053.36
  5. Step 5: Solve for x
    x = 46,680,095,053.36/319,132.48
  6. Step 6: Final answer
    x = 146,271.84

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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.