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Finding the Fourth Proportional to 533,289.48, 735,946.46 and 291,572.33

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Solution

The fourth proportional to 533,289.48, 735,946.46 and 291,572.33 is: 402,373.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,289.48 : 735,946.46 = 291,572.33 : x
  2. Step 2: Convert to fraction form
    533,289.48/735,946.46 = 291,572.33/x
  3. Step 3: Cross multiply
    533,289.48x = 735,946.46 × 291,572.33
  4. Step 4: Simplify right side
    533,289.48x = 214,581,626,666.25
  5. Step 5: Solve for x
    x = 214,581,626,666.25/533,289.48
  6. Step 6: Final answer
    x = 402,373.64

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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.