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Finding the Fourth Proportional to 524,041.79, 786,018.80 and 144,967.19

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Solution

The fourth proportional to 524,041.79, 786,018.80 and 144,967.19 is: 217,438.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,041.79 : 786,018.80 = 144,967.19 : x
  2. Step 2: Convert to fraction form
    524,041.79/786,018.80 = 144,967.19/x
  3. Step 3: Cross multiply
    524,041.79x = 786,018.80 × 144,967.19
  4. Step 4: Simplify right side
    524,041.79x = 113,946,933,155.50
  5. Step 5: Solve for x
    x = 113,946,933,155.50/524,041.79
  6. Step 6: Final answer
    x = 217,438.64

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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.