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Finding the Fourth Proportional to 533,061.81, 735,612.84 and 291,345.93

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Solution

The fourth proportional to 533,061.81, 735,612.84 and 291,345.93 is: 402,050.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,061.81 : 735,612.84 = 291,345.93 : x
  2. Step 2: Convert to fraction form
    533,061.81/735,612.84 = 291,345.93/x
  3. Step 3: Cross multiply
    533,061.81x = 735,612.84 × 291,345.93
  4. Step 4: Simplify right side
    533,061.81x = 214,317,806,989.74
  5. Step 5: Solve for x
    x = 214,317,806,989.74/533,061.81
  6. Step 6: Final answer
    x = 402,050.57

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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.