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Finding the Fourth Proportional to 533,293.74, 735,946.70 and 291,591.90

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Solution

The fourth proportional to 533,293.74, 735,946.70 and 291,591.90 is: 402,397.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,293.74 : 735,946.70 = 291,591.90 : x
  2. Step 2: Convert to fraction form
    533,293.74/735,946.70 = 291,591.90/x
  3. Step 3: Cross multiply
    533,293.74x = 735,946.70 × 291,591.90
  4. Step 4: Simplify right side
    533,293.74x = 214,596,095,093.77
  5. Step 5: Solve for x
    x = 214,596,095,093.77/533,293.74
  6. Step 6: Final answer
    x = 402,397.55

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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.