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Finding the Fourth Proportional to 289,698.40, 434,547.60 and 188,221.60

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Solution

The fourth proportional to 289,698.40, 434,547.60 and 188,221.60 is: 282,332.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,698.40 : 434,547.60 = 188,221.60 : x
  2. Step 2: Convert to fraction form
    289,698.40/434,547.60 = 188,221.60/x
  3. Step 3: Cross multiply
    289,698.40x = 434,547.60 × 188,221.60
  4. Step 4: Simplify right side
    289,698.40x = 81,791,244,548.16
  5. Step 5: Solve for x
    x = 81,791,244,548.16/289,698.40
  6. Step 6: Final answer
    x = 282,332.40

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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.