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Finding the Fourth Proportional to 686,533.40, 947,472.02 and 380,705.70

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Solution

The fourth proportional to 686,533.40, 947,472.02 and 380,705.70 is: 525,404.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,533.40 : 947,472.02 = 380,705.70 : x
  2. Step 2: Convert to fraction form
    686,533.40/947,472.02 = 380,705.70/x
  3. Step 3: Cross multiply
    686,533.40x = 947,472.02 × 380,705.70
  4. Step 4: Simplify right side
    686,533.40x = 360,708,003,823.12
  5. Step 5: Solve for x
    x = 360,708,003,823.12/686,533.40
  6. Step 6: Final answer
    x = 525,404.89

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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.