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Finding the Fourth Proportional to 524,774.40, 785,347.20 and 314,563.20

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Solution

The fourth proportional to 524,774.40, 785,347.20 and 314,563.20 is: 470,757.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,774.40 : 785,347.20 = 314,563.20 : x
  2. Step 2: Convert to fraction form
    524,774.40/785,347.20 = 314,563.20/x
  3. Step 3: Cross multiply
    524,774.40x = 785,347.20 × 314,563.20
  4. Step 4: Simplify right side
    524,774.40x = 247,041,328,343.04
  5. Step 5: Solve for x
    x = 247,041,328,343.04/524,774.40
  6. Step 6: Final answer
    x = 470,757.20

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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.