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Finding the Fourth Proportional to 686,030.60, 946,420.67 and 413,946.74

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Solution

The fourth proportional to 686,030.60, 946,420.67 and 413,946.74 is: 571,064.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,030.60 : 946,420.67 = 413,946.74 : x
  2. Step 2: Convert to fraction form
    686,030.60/946,420.67 = 413,946.74/x
  3. Step 3: Cross multiply
    686,030.60x = 946,420.67 × 413,946.74
  4. Step 4: Simplify right side
    686,030.60x = 391,767,748,945.38
  5. Step 5: Solve for x
    x = 391,767,748,945.38/686,030.60
  6. Step 6: Final answer
    x = 571,064.54

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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.