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Finding the Fourth Proportional to 931,401, 1,285,333.38 and 507,465

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Solution

The fourth proportional to 931,401, 1,285,333.38 and 507,465 is: 700,301.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    931,401 : 1,285,333.38 = 507,465 : x
  2. Step 2: Convert to fraction form
    931,401/1,285,333.38 = 507,465/x
  3. Step 3: Cross multiply
    931,401x = 1,285,333.38 × 507,465
  4. Step 4: Simplify right side
    931,401x = 652,261,703,681.70
  5. Step 5: Solve for x
    x = 652,261,703,681.70/931,401
  6. Step 6: Final answer
    x = 700,301.70

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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.