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Finding the Fourth Proportional to 686,526.38, 947,462.32 and 380,698.63

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Solution

The fourth proportional to 686,526.38, 947,462.32 and 380,698.63 is: 525,395.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,526.38 : 947,462.32 = 380,698.63 : x
  2. Step 2: Convert to fraction form
    686,526.38/947,462.32 = 380,698.63/x
  3. Step 3: Cross multiply
    686,526.38x = 947,462.32 × 380,698.63
  4. Step 4: Simplify right side
    686,526.38x = 360,697,608,495.89
  5. Step 5: Solve for x
    x = 360,697,608,495.89/686,526.38
  6. Step 6: Final answer
    x = 525,395.11

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Double scale
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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.