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Finding the Fourth Proportional to 295,929.60, 443,602.80 and 146,047.20

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Solution

The fourth proportional to 295,929.60, 443,602.80 and 146,047.20 is: 218,926.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,929.60 : 443,602.80 = 146,047.20 : x
  2. Step 2: Convert to fraction form
    295,929.60/443,602.80 = 146,047.20/x
  3. Step 3: Cross multiply
    295,929.60x = 443,602.80 × 146,047.20
  4. Step 4: Simplify right side
    295,929.60x = 64,786,946,852.16
  5. Step 5: Solve for x
    x = 64,786,946,852.16/295,929.60
  6. Step 6: Final answer
    x = 218,926.89

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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.