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Finding the Fourth Proportional to 314,312.96, 471,362.40 and 114,586.40

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Solution

The fourth proportional to 314,312.96, 471,362.40 and 114,586.40 is: 171,840.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,312.96 : 471,362.40 = 114,586.40 : x
  2. Step 2: Convert to fraction form
    314,312.96/471,362.40 = 114,586.40/x
  3. Step 3: Cross multiply
    314,312.96x = 471,362.40 × 114,586.40
  4. Step 4: Simplify right side
    314,312.96x = 54,011,720,511.36
  5. Step 5: Solve for x
    x = 54,011,720,511.36/314,312.96
  6. Step 6: Final answer
    x = 171,840.58

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1.5x scale

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.