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Finding the Fourth Proportional to 524,774.40, 786,124.80 and 313,785.60

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Solution

The fourth proportional to 524,774.40, 786,124.80 and 313,785.60 is: 470,058.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,774.40 : 786,124.80 = 313,785.60 : x
  2. Step 2: Convert to fraction form
    524,774.40/786,124.80 = 313,785.60/x
  3. Step 3: Cross multiply
    524,774.40x = 786,124.80 × 313,785.60
  4. Step 4: Simplify right side
    524,774.40x = 246,674,642,042.88
  5. Step 5: Solve for x
    x = 246,674,642,042.88/524,774.40
  6. Step 6: Final answer
    x = 470,058.45

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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.