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Finding the Fourth Proportional to 465,477.51, 698,270.95 and 166,000.67

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Solution

The fourth proportional to 465,477.51, 698,270.95 and 166,000.67 is: 249,020.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,477.51 : 698,270.95 = 166,000.67 : x
  2. Step 2: Convert to fraction form
    465,477.51/698,270.95 = 166,000.67/x
  3. Step 3: Cross multiply
    465,477.51x = 698,270.95 × 166,000.67
  4. Step 4: Simplify right side
    465,477.51x = 115,913,441,635.18
  5. Step 5: Solve for x
    x = 115,913,441,635.18/465,477.51
  6. Step 6: Final answer
    x = 249,020.50

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1.5x scale

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.