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Finding the Fourth Proportional to 319,113.60, 477,748.80 and 194,697.60

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Solution

The fourth proportional to 319,113.60, 477,748.80 and 194,697.60 is: 291,484.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,113.60 : 477,748.80 = 194,697.60 : x
  2. Step 2: Convert to fraction form
    319,113.60/477,748.80 = 194,697.60/x
  3. Step 3: Cross multiply
    319,113.60x = 477,748.80 × 194,697.60
  4. Step 4: Simplify right side
    319,113.60x = 93,016,544,762.88
  5. Step 5: Solve for x
    x = 93,016,544,762.88/319,113.60
  6. Step 6: Final answer
    x = 291,484.11

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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.