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Finding the Fourth Proportional to 686,561.87, 947,477.80 and 380,666.71

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Solution

The fourth proportional to 686,561.87, 947,477.80 and 380,666.71 is: 525,332.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,561.87 : 947,477.80 = 380,666.71 : x
  2. Step 2: Convert to fraction form
    686,561.87/947,477.80 = 380,666.71/x
  3. Step 3: Cross multiply
    686,561.87x = 947,477.80 × 380,666.71
  4. Step 4: Simplify right side
    686,561.87x = 360,673,255,031.18
  5. Step 5: Solve for x
    x = 360,673,255,031.18/686,561.87
  6. Step 6: Final answer
    x = 525,332.49

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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.