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Finding the Fourth Proportional to 464,855.60, 697,477.80 and 149,409.20

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Solution

The fourth proportional to 464,855.60, 697,477.80 and 149,409.20 is: 224,176.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,855.60 : 697,477.80 = 149,409.20 : x
  2. Step 2: Convert to fraction form
    464,855.60/697,477.80 = 149,409.20/x
  3. Step 3: Cross multiply
    464,855.60x = 697,477.80 × 149,409.20
  4. Step 4: Simplify right side
    464,855.60x = 104,209,600,115.76
  5. Step 5: Solve for x
    x = 104,209,600,115.76/464,855.60
  6. Step 6: Final answer
    x = 224,176.28

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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.