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Finding the Fourth Proportional to 287,226.80, 430,859.40 and 97,684.40

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Solution

The fourth proportional to 287,226.80, 430,859.40 and 97,684.40 is: 146,533.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,226.80 : 430,859.40 = 97,684.40 : x
  2. Step 2: Convert to fraction form
    287,226.80/430,859.40 = 97,684.40/x
  3. Step 3: Cross multiply
    287,226.80x = 430,859.40 × 97,684.40
  4. Step 4: Simplify right side
    287,226.80x = 42,088,241,973.36
  5. Step 5: Solve for x
    x = 42,088,241,973.36/287,226.80
  6. Step 6: Final answer
    x = 146,533.13

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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.