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Finding the Fourth Proportional to 473,649.58, 710,464.38 and 153,801.10

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Solution

The fourth proportional to 473,649.58, 710,464.38 and 153,801.10 is: 230,698.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,649.58 : 710,464.38 = 153,801.10 : x
  2. Step 2: Convert to fraction form
    473,649.58/710,464.38 = 153,801.10/x
  3. Step 3: Cross multiply
    473,649.58x = 710,464.38 × 153,801.10
  4. Step 4: Simplify right side
    473,649.58x = 109,270,203,154.82
  5. Step 5: Solve for x
    x = 109,270,203,154.82/473,649.58
  6. Step 6: Final answer
    x = 230,698.41

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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.