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Finding the Fourth Proportional to 314,038.46, 470,782 and 124,632.50

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Solution

The fourth proportional to 314,038.46, 470,782 and 124,632.50 is: 186,839.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,038.46 : 470,782 = 124,632.50 : x
  2. Step 2: Convert to fraction form
    314,038.46/470,782 = 124,632.50/x
  3. Step 3: Cross multiply
    314,038.46x = 470,782 × 124,632.50
  4. Step 4: Simplify right side
    314,038.46x = 58,674,737,615
  5. Step 5: Solve for x
    x = 58,674,737,615/314,038.46
  6. Step 6: Final answer
    x = 186,839.34

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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.