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Finding the Fourth Proportional to 464,870.60, 697,305.90 and 149,359.40

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Solution

The fourth proportional to 464,870.60, 697,305.90 and 149,359.40 is: 224,039.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,870.60 : 697,305.90 = 149,359.40 : x
  2. Step 2: Convert to fraction form
    464,870.60/697,305.90 = 149,359.40/x
  3. Step 3: Cross multiply
    464,870.60x = 697,305.90 × 149,359.40
  4. Step 4: Simplify right side
    464,870.60x = 104,149,190,840.46
  5. Step 5: Solve for x
    x = 104,149,190,840.46/464,870.60
  6. Step 6: Final answer
    x = 224,039.10

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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.