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Finding the Fourth Proportional to 524,051.64, 786,038.58 and 187,053.84

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Solution

The fourth proportional to 524,051.64, 786,038.58 and 187,053.84 is: 280,566.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,051.64 : 786,038.58 = 187,053.84 : x
  2. Step 2: Convert to fraction form
    524,051.64/786,038.58 = 187,053.84/x
  3. Step 3: Cross multiply
    524,051.64x = 786,038.58 × 187,053.84
  4. Step 4: Simplify right side
    524,051.64x = 147,031,534,777.15
  5. Step 5: Solve for x
    x = 147,031,534,777.15/524,051.64
  6. Step 6: Final answer
    x = 280,566.88

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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.