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Finding the Fourth Proportional to 264,281.84, 396,483.28 and 114,547.28

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Solution

The fourth proportional to 264,281.84, 396,483.28 and 114,547.28 is: 171,847.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,281.84 : 396,483.28 = 114,547.28 : x
  2. Step 2: Convert to fraction form
    264,281.84/396,483.28 = 114,547.28/x
  3. Step 3: Cross multiply
    264,281.84x = 396,483.28 × 114,547.28
  4. Step 4: Simplify right side
    264,281.84x = 45,416,081,289.48
  5. Step 5: Solve for x
    x = 45,416,081,289.48/264,281.84
  6. Step 6: Final answer
    x = 171,847.15

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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.