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Finding the Fourth Proportional to 604,051.92, 906,056.88 and 154,776.48

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Solution

The fourth proportional to 604,051.92, 906,056.88 and 154,776.48 is: 232,159.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    604,051.92 : 906,056.88 = 154,776.48 : x
  2. Step 2: Convert to fraction form
    604,051.92/906,056.88 = 154,776.48/x
  3. Step 3: Cross multiply
    604,051.92x = 906,056.88 × 154,776.48
  4. Step 4: Simplify right side
    604,051.92x = 140,236,294,566.18
  5. Step 5: Solve for x
    x = 140,236,294,566.18/604,051.92
  6. Step 6: Final answer
    x = 232,159.34

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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.