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Finding the Fourth Proportional to 467,582.40, 701,373.60 and 152,071.20

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Solution

The fourth proportional to 467,582.40, 701,373.60 and 152,071.20 is: 228,106.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,582.40 : 701,373.60 = 152,071.20 : x
  2. Step 2: Convert to fraction form
    467,582.40/701,373.60 = 152,071.20/x
  3. Step 3: Cross multiply
    467,582.40x = 701,373.60 × 152,071.20
  4. Step 4: Simplify right side
    467,582.40x = 106,658,725,000.32
  5. Step 5: Solve for x
    x = 106,658,725,000.32/467,582.40
  6. Step 6: Final answer
    x = 228,106.80

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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.