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Finding the Fourth Proportional to 314,009.80, 471,014.70 and 301,762.60

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Solution

The fourth proportional to 314,009.80, 471,014.70 and 301,762.60 is: 452,643.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,009.80 : 471,014.70 = 301,762.60 : x
  2. Step 2: Convert to fraction form
    314,009.80/471,014.70 = 301,762.60/x
  3. Step 3: Cross multiply
    314,009.80x = 471,014.70 × 301,762.60
  4. Step 4: Simplify right side
    314,009.80x = 142,134,620,510.22
  5. Step 5: Solve for x
    x = 142,134,620,510.22/314,009.80
  6. Step 6: Final answer
    x = 452,643.90

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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.