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Finding the Fourth Proportional to 519,124, 715,742.04 and 433,206.76

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Solution

The fourth proportional to 519,124, 715,742.04 and 433,206.76 is: 597,283.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,124 : 715,742.04 = 433,206.76 : x
  2. Step 2: Convert to fraction form
    519,124/715,742.04 = 433,206.76/x
  3. Step 3: Cross multiply
    519,124x = 715,742.04 × 433,206.76
  4. Step 4: Simplify right side
    519,124x = 310,064,290,144.19
  5. Step 5: Solve for x
    x = 310,064,290,144.19/519,124
  6. Step 6: Final answer
    x = 597,283.67

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.