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Finding the Fourth Proportional to 710,502.34, 980,464.08 and 388,223.50

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Solution

The fourth proportional to 710,502.34, 980,464.08 and 388,223.50 is: 535,732.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    710,502.34 : 980,464.08 = 388,223.50 : x
  2. Step 2: Convert to fraction form
    710,502.34/980,464.08 = 388,223.50/x
  3. Step 3: Cross multiply
    710,502.34x = 980,464.08 × 388,223.50
  4. Step 4: Simplify right side
    710,502.34x = 380,639,196,761.88
  5. Step 5: Solve for x
    x = 380,639,196,761.88/710,502.34
  6. Step 6: Final answer
    x = 535,732.50

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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.