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Finding the Fourth Proportional to 314,475.42, 433,927.23 and 180,313.50

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Solution

The fourth proportional to 314,475.42, 433,927.23 and 180,313.50 is: 248,804.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,475.42 : 433,927.23 = 180,313.50 : x
  2. Step 2: Convert to fraction form
    314,475.42/433,927.23 = 180,313.50/x
  3. Step 3: Cross multiply
    314,475.42x = 433,927.23 × 180,313.50
  4. Step 4: Simplify right side
    314,475.42x = 78,242,937,586.61
  5. Step 5: Solve for x
    x = 78,242,937,586.61/314,475.42
  6. Step 6: Final answer
    x = 248,804.62

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.