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Finding the Fourth Proportional to 533,686.08, 736,478.64 and 291,962.64

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Solution

The fourth proportional to 533,686.08, 736,478.64 and 291,962.64 is: 402,903.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,686.08 : 736,478.64 = 291,962.64 : x
  2. Step 2: Convert to fraction form
    533,686.08/736,478.64 = 291,962.64/x
  3. Step 3: Cross multiply
    533,686.08x = 736,478.64 × 291,962.64
  4. Step 4: Simplify right side
    533,686.08x = 215,024,248,038.01
  5. Step 5: Solve for x
    x = 215,024,248,038.01/533,686.08
  6. Step 6: Final answer
    x = 402,903.98

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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.