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Finding the Fourth Proportional to 314,433.10, 471,649.65 and 156,969.10

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Solution

The fourth proportional to 314,433.10, 471,649.65 and 156,969.10 is: 235,453.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,433.10 : 471,649.65 = 156,969.10 : x
  2. Step 2: Convert to fraction form
    314,433.10/471,649.65 = 156,969.10/x
  3. Step 3: Cross multiply
    314,433.10x = 471,649.65 × 156,969.10
  4. Step 4: Simplify right side
    314,433.10x = 74,034,421,075.82
  5. Step 5: Solve for x
    x = 74,034,421,075.82/314,433.10
  6. Step 6: Final answer
    x = 235,453.65

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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.