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Finding the Fourth Proportional to 313,958.40, 470,897.44 and 103,544.16

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Solution

The fourth proportional to 313,958.40, 470,897.44 and 103,544.16 is: 155,303.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,958.40 : 470,897.44 = 103,544.16 : x
  2. Step 2: Convert to fraction form
    313,958.40/470,897.44 = 103,544.16/x
  3. Step 3: Cross multiply
    313,958.40x = 470,897.44 × 103,544.16
  4. Step 4: Simplify right side
    313,958.40x = 48,758,679,870.95
  5. Step 5: Solve for x
    x = 48,758,679,870.95/313,958.40
  6. Step 6: Final answer
    x = 155,303.00

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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.