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Finding the Fourth Proportional to 533,158.96, 735,779.16 and 291,457.93

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Solution

The fourth proportional to 533,158.96, 735,779.16 and 291,457.93 is: 402,222.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,158.96 : 735,779.16 = 291,457.93 : x
  2. Step 2: Convert to fraction form
    533,158.96/735,779.16 = 291,457.93/x
  3. Step 3: Cross multiply
    533,158.96x = 735,779.16 × 291,457.93
  4. Step 4: Simplify right side
    533,158.96x = 214,448,670,910.74
  5. Step 5: Solve for x
    x = 214,448,670,910.74/533,158.96
  6. Step 6: Final answer
    x = 402,222.76

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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.