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Finding the Fourth Proportional to 524,186.40, 785,890.80 and 224,421.60

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Solution

The fourth proportional to 524,186.40, 785,890.80 and 224,421.60 is: 336,465.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,186.40 : 785,890.80 = 224,421.60 : x
  2. Step 2: Convert to fraction form
    524,186.40/785,890.80 = 224,421.60/x
  3. Step 3: Cross multiply
    524,186.40x = 785,890.80 × 224,421.60
  4. Step 4: Simplify right side
    524,186.40x = 176,370,870,761.28
  5. Step 5: Solve for x
    x = 176,370,870,761.28/524,186.40
  6. Step 6: Final answer
    x = 336,465.94

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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.