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Finding the Fourth Proportional to 470,156.34, 705,283.70 and 154,637.84

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Solution

The fourth proportional to 470,156.34, 705,283.70 and 154,637.84 is: 231,972.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,156.34 : 705,283.70 = 154,637.84 : x
  2. Step 2: Convert to fraction form
    470,156.34/705,283.70 = 154,637.84/x
  3. Step 3: Cross multiply
    470,156.34x = 705,283.70 × 154,637.84
  4. Step 4: Simplify right side
    470,156.34x = 109,063,547,955.21
  5. Step 5: Solve for x
    x = 109,063,547,955.21/470,156.34
  6. Step 6: Final answer
    x = 231,972.94

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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.