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Finding the Fourth Proportional to 533,044.35, 735,599.45 and 291,326.86

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Solution

The fourth proportional to 533,044.35, 735,599.45 and 291,326.86 is: 402,030.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,044.35 : 735,599.45 = 291,326.86 : x
  2. Step 2: Convert to fraction form
    533,044.35/735,599.45 = 291,326.86/x
  3. Step 3: Cross multiply
    533,044.35x = 735,599.45 × 291,326.86
  4. Step 4: Simplify right side
    533,044.35x = 214,299,878,814.69
  5. Step 5: Solve for x
    x = 214,299,878,814.69/533,044.35
  6. Step 6: Final answer
    x = 402,030.11

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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.