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Finding the Fourth Proportional to 423,005.16, 583,763.46 and 232,026.60

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Solution

The fourth proportional to 423,005.16, 583,763.46 and 232,026.60 is: 320,205.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,005.16 : 583,763.46 = 232,026.60 : x
  2. Step 2: Convert to fraction form
    423,005.16/583,763.46 = 232,026.60/x
  3. Step 3: Cross multiply
    423,005.16x = 583,763.46 × 232,026.60
  4. Step 4: Simplify right side
    423,005.16x = 135,448,650,828.04
  5. Step 5: Solve for x
    x = 135,448,650,828.04/423,005.16
  6. Step 6: Final answer
    x = 320,205.67

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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.