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Finding the Fourth Proportional to 533,258.61, 735,914.66 and 291,535.89

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Solution

The fourth proportional to 533,258.61, 735,914.66 and 291,535.89 is: 402,329.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,258.61 : 735,914.66 = 291,535.89 : x
  2. Step 2: Convert to fraction form
    533,258.61/735,914.66 = 291,535.89/x
  3. Step 3: Cross multiply
    533,258.61x = 735,914.66 × 291,535.89
  4. Step 4: Simplify right side
    533,258.61x = 214,545,533,909.47
  5. Step 5: Solve for x
    x = 214,545,533,909.47/533,258.61
  6. Step 6: Final answer
    x = 402,329.24

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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.