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Finding the Fourth Proportional to 600,242.13, 828,360.68 and 345,675.33

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Solution

The fourth proportional to 600,242.13, 828,360.68 and 345,675.33 is: 477,047.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    600,242.13 : 828,360.68 = 345,675.33 : x
  2. Step 2: Convert to fraction form
    600,242.13/828,360.68 = 345,675.33/x
  3. Step 3: Cross multiply
    600,242.13x = 828,360.68 × 345,675.33
  4. Step 4: Simplify right side
    600,242.13x = 286,343,849,689.65
  5. Step 5: Solve for x
    x = 286,343,849,689.65/600,242.13
  6. Step 6: Final answer
    x = 477,047.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.