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Finding the Fourth Proportional to 224,833.12, 310,407.35 and 214,043.47

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Solution

The fourth proportional to 224,833.12, 310,407.35 and 214,043.47 is: 295,511.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,833.12 : 310,407.35 = 214,043.47 : x
  2. Step 2: Convert to fraction form
    224,833.12/310,407.35 = 214,043.47/x
  3. Step 3: Cross multiply
    224,833.12x = 310,407.35 × 214,043.47
  4. Step 4: Simplify right side
    224,833.12x = 66,440,666,307.50
  5. Step 5: Solve for x
    x = 66,440,666,307.50/224,833.12
  6. Step 6: Final answer
    x = 295,511.03

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.