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Finding the Fourth Proportional to 471,830.67, 651,133.69 and 256,970.53

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Solution

The fourth proportional to 471,830.67, 651,133.69 and 256,970.53 is: 354,623.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,830.67 : 651,133.69 = 256,970.53 : x
  2. Step 2: Convert to fraction form
    471,830.67/651,133.69 = 256,970.53/x
  3. Step 3: Cross multiply
    471,830.67x = 651,133.69 × 256,970.53
  4. Step 4: Simplify right side
    471,830.67x = 167,322,165,929.02
  5. Step 5: Solve for x
    x = 167,322,165,929.02/471,830.67
  6. Step 6: Final answer
    x = 354,623.34

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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.