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Finding the Fourth Proportional to 470,415.64, 705,732.90 and 154,875.28

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Solution

The fourth proportional to 470,415.64, 705,732.90 and 154,875.28 is: 232,348.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,415.64 : 705,732.90 = 154,875.28 : x
  2. Step 2: Convert to fraction form
    470,415.64/705,732.90 = 154,875.28/x
  3. Step 3: Cross multiply
    470,415.64x = 705,732.90 × 154,875.28
  4. Step 4: Simplify right side
    470,415.64x = 109,300,580,492.71
  5. Step 5: Solve for x
    x = 109,300,580,492.71/470,415.64
  6. Step 6: Final answer
    x = 232,348.95

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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.