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Finding the Fourth Proportional to 470,349.76, 705,612.12 and 154,828.84

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Solution

The fourth proportional to 470,349.76, 705,612.12 and 154,828.84 is: 232,272.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,349.76 : 705,612.12 = 154,828.84 : x
  2. Step 2: Convert to fraction form
    470,349.76/705,612.12 = 154,828.84/x
  3. Step 3: Cross multiply
    470,349.76x = 705,612.12 × 154,828.84
  4. Step 4: Simplify right side
    470,349.76x = 109,249,106,029.54
  5. Step 5: Solve for x
    x = 109,249,106,029.54/470,349.76
  6. Step 6: Final answer
    x = 232,272.06

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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.