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Finding the Fourth Proportional to 533,497.72, 736,216.50 and 291,779.52

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Solution

The fourth proportional to 533,497.72, 736,216.50 and 291,779.52 is: 402,650.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,497.72 : 736,216.50 = 291,779.52 : x
  2. Step 2: Convert to fraction form
    533,497.72/736,216.50 = 291,779.52/x
  3. Step 3: Cross multiply
    533,497.72x = 736,216.50 × 291,779.52
  4. Step 4: Simplify right side
    533,497.72x = 214,812,896,986.08
  5. Step 5: Solve for x
    x = 214,812,896,986.08/533,497.72
  6. Step 6: Final answer
    x = 402,650.08

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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.