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Finding the Fourth Proportional to 314,000.40, 470,914.20 and 127,030.80

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Solution

The fourth proportional to 314,000.40, 470,914.20 and 127,030.80 is: 190,511.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,000.40 : 470,914.20 = 127,030.80 : x
  2. Step 2: Convert to fraction form
    314,000.40/470,914.20 = 127,030.80/x
  3. Step 3: Cross multiply
    314,000.40x = 470,914.20 × 127,030.80
  4. Step 4: Simplify right side
    314,000.40x = 59,820,607,557.36
  5. Step 5: Solve for x
    x = 59,820,607,557.36/314,000.40
  6. Step 6: Final answer
    x = 190,511.25

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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.