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Finding the Fourth Proportional to 466,699, 700,048.51 and 134,275

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Solution

The fourth proportional to 466,699, 700,048.51 and 134,275 is: 201,412.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,699 : 700,048.51 = 134,275 : x
  2. Step 2: Convert to fraction form
    466,699/700,048.51 = 134,275/x
  3. Step 3: Cross multiply
    466,699x = 700,048.51 × 134,275
  4. Step 4: Simplify right side
    466,699x = 93,999,013,680.25
  5. Step 5: Solve for x
    x = 93,999,013,680.25/466,699
  6. Step 6: Final answer
    x = 201,412.50

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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.