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Finding the Fourth Proportional to 472,547.59, 708,724.72 and 135,497.95

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Solution

The fourth proportional to 472,547.59, 708,724.72 and 135,497.95 is: 203,219.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,547.59 : 708,724.72 = 135,497.95 : x
  2. Step 2: Convert to fraction form
    472,547.59/708,724.72 = 135,497.95/x
  3. Step 3: Cross multiply
    472,547.59x = 708,724.72 × 135,497.95
  4. Step 4: Simplify right side
    472,547.59x = 96,030,742,453.21
  5. Step 5: Solve for x
    x = 96,030,742,453.21/472,547.59
  6. Step 6: Final answer
    x = 203,219.20

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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.