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Finding the Fourth Proportional to 456,677.54, 684,941.90 and 153,206.00

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Solution

The fourth proportional to 456,677.54, 684,941.90 and 153,206.00 is: 229,784.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,677.54 : 684,941.90 = 153,206.00 : x
  2. Step 2: Convert to fraction form
    456,677.54/684,941.90 = 153,206.00/x
  3. Step 3: Cross multiply
    456,677.54x = 684,941.90 × 153,206.00
  4. Step 4: Simplify right side
    456,677.54x = 104,937,210,826.77
  5. Step 5: Solve for x
    x = 104,937,210,826.77/456,677.54
  6. Step 6: Final answer
    x = 229,784.04

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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.