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Finding the Fourth Proportional to 435,595.24, 653,231.58 and 155,037.16

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Solution

The fourth proportional to 435,595.24, 653,231.58 and 155,037.16 is: 232,498.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,595.24 : 653,231.58 = 155,037.16 : x
  2. Step 2: Convert to fraction form
    435,595.24/653,231.58 = 155,037.16/x
  3. Step 3: Cross multiply
    435,595.24x = 653,231.58 × 155,037.16
  4. Step 4: Simplify right side
    435,595.24x = 101,275,168,985.51
  5. Step 5: Solve for x
    x = 101,275,168,985.51/435,595.24
  6. Step 6: Final answer
    x = 232,498.34

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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.