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Finding the Fourth Proportional to 492,912.76, 735,803.48 and 433,125.65

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Solution

The fourth proportional to 492,912.76, 735,803.48 and 433,125.65 is: 646,555.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,912.76 : 735,803.48 = 433,125.65 : x
  2. Step 2: Convert to fraction form
    492,912.76/735,803.48 = 433,125.65/x
  3. Step 3: Cross multiply
    492,912.76x = 735,803.48 × 433,125.65
  4. Step 4: Simplify right side
    492,912.76x = 318,695,360,547.26
  5. Step 5: Solve for x
    x = 318,695,360,547.26/492,912.76
  6. Step 6: Final answer
    x = 646,555.31

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.