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Finding the Fourth Proportional to 282,733.90, 424,056.30 and 235,008.98

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Solution

The fourth proportional to 282,733.90, 424,056.30 and 235,008.98 is: 352,476.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,733.90 : 424,056.30 = 235,008.98 : x
  2. Step 2: Convert to fraction form
    282,733.90/424,056.30 = 235,008.98/x
  3. Step 3: Cross multiply
    282,733.90x = 424,056.30 × 235,008.98
  4. Step 4: Simplify right side
    282,733.90x = 99,657,038,525.57
  5. Step 5: Solve for x
    x = 99,657,038,525.57/282,733.90
  6. Step 6: Final answer
    x = 352,476.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.