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Finding the Fourth Proportional to 492,024.30, 738,166.05 and 176,448.30

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Solution

The fourth proportional to 492,024.30, 738,166.05 and 176,448.30 is: 264,718.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,024.30 : 738,166.05 = 176,448.30 : x
  2. Step 2: Convert to fraction form
    492,024.30/738,166.05 = 176,448.30/x
  3. Step 3: Cross multiply
    492,024.30x = 738,166.05 × 176,448.30
  4. Step 4: Simplify right side
    492,024.30x = 130,248,144,640.22
  5. Step 5: Solve for x
    x = 130,248,144,640.22/492,024.30
  6. Step 6: Final answer
    x = 264,718.93

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1.5x scale

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.