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Finding the Fourth Proportional to 533,095.02, 735,669.35 and 291,377.46

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Solution

The fourth proportional to 533,095.02, 735,669.35 and 291,377.46 is: 402,099.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,095.02 : 735,669.35 = 291,377.46 : x
  2. Step 2: Convert to fraction form
    533,095.02/735,669.35 = 291,377.46/x
  3. Step 3: Cross multiply
    533,095.02x = 735,669.35 × 291,377.46
  4. Step 4: Simplify right side
    533,095.02x = 214,357,466,602.85
  5. Step 5: Solve for x
    x = 214,357,466,602.85/533,095.02
  6. Step 6: Final answer
    x = 402,099.92

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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.