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Finding the Fourth Proportional to 390,204.63, 585,038.01 and 153,574.47

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Solution

The fourth proportional to 390,204.63, 585,038.01 and 153,574.47 is: 230,255.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,204.63 : 585,038.01 = 153,574.47 : x
  2. Step 2: Convert to fraction form
    390,204.63/585,038.01 = 153,574.47/x
  3. Step 3: Cross multiply
    390,204.63x = 585,038.01 × 153,574.47
  4. Step 4: Simplify right side
    390,204.63x = 89,846,902,315.60
  5. Step 5: Solve for x
    x = 89,846,902,315.60/390,204.63
  6. Step 6: Final answer
    x = 230,255.86

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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.