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Finding the Fourth Proportional to 432,624.48, 648,970.80 and 152,204.64

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Solution

The fourth proportional to 432,624.48, 648,970.80 and 152,204.64 is: 228,318.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,624.48 : 648,970.80 = 152,204.64 : x
  2. Step 2: Convert to fraction form
    432,624.48/648,970.80 = 152,204.64/x
  3. Step 3: Cross multiply
    432,624.48x = 648,970.80 × 152,204.64
  4. Step 4: Simplify right side
    432,624.48x = 98,776,366,984.51
  5. Step 5: Solve for x
    x = 98,776,366,984.51/432,624.48
  6. Step 6: Final answer
    x = 228,318.95

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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.