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Finding the Fourth Proportional to 456,023.36, 684,063.25 and 152,444.84

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Solution

The fourth proportional to 456,023.36, 684,063.25 and 152,444.84 is: 228,676.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,023.36 : 684,063.25 = 152,444.84 : x
  2. Step 2: Convert to fraction form
    456,023.36/684,063.25 = 152,444.84/x
  3. Step 3: Cross multiply
    456,023.36x = 684,063.25 × 152,444.84
  4. Step 4: Simplify right side
    456,023.36x = 104,281,908,894.70
  5. Step 5: Solve for x
    x = 104,281,908,894.70/456,023.36
  6. Step 6: Final answer
    x = 228,676.68

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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.