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Finding the Fourth Proportional to 307,730.40, 461,638.80 and 97,346.40

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Solution

The fourth proportional to 307,730.40, 461,638.80 and 97,346.40 is: 146,033.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,730.40 : 461,638.80 = 97,346.40 : x
  2. Step 2: Convert to fraction form
    307,730.40/461,638.80 = 97,346.40/x
  3. Step 3: Cross multiply
    307,730.40x = 461,638.80 × 97,346.40
  4. Step 4: Simplify right side
    307,730.40x = 44,938,875,280.32
  5. Step 5: Solve for x
    x = 44,938,875,280.32/307,730.40
  6. Step 6: Final answer
    x = 146,033.27

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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.