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Finding the Fourth Proportional to 464,770.10, 697,349.55 and 149,323.70

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Solution

The fourth proportional to 464,770.10, 697,349.55 and 149,323.70 is: 224,048.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,770.10 : 697,349.55 = 149,323.70 : x
  2. Step 2: Convert to fraction form
    464,770.10/697,349.55 = 149,323.70/x
  3. Step 3: Cross multiply
    464,770.10x = 697,349.55 × 149,323.70
  4. Step 4: Simplify right side
    464,770.10x = 104,130,814,999.34
  5. Step 5: Solve for x
    x = 104,130,814,999.34/464,770.10
  6. Step 6: Final answer
    x = 224,048.01

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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.