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Finding the Fourth Proportional to 523,569.65, 785,354.76 and 149,592.65

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Solution

The fourth proportional to 523,569.65, 785,354.76 and 149,592.65 is: 224,389.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,569.65 : 785,354.76 = 149,592.65 : x
  2. Step 2: Convert to fraction form
    523,569.65/785,354.76 = 149,592.65/x
  3. Step 3: Cross multiply
    523,569.65x = 785,354.76 × 149,592.65
  4. Step 4: Simplify right side
    523,569.65x = 117,483,295,811.74
  5. Step 5: Solve for x
    x = 117,483,295,811.74/523,569.65
  6. Step 6: Final answer
    x = 224,389.05

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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.