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Finding the Fourth Proportional to 937,490, 1,293,735.56 and 507,770

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Solution

The fourth proportional to 937,490, 1,293,735.56 and 507,770 is: 700,722.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    937,490 : 1,293,735.56 = 507,770 : x
  2. Step 2: Convert to fraction form
    937,490/1,293,735.56 = 507,770/x
  3. Step 3: Cross multiply
    937,490x = 1,293,735.56 × 507,770
  4. Step 4: Simplify right side
    937,490x = 656,920,105,301.20
  5. Step 5: Solve for x
    x = 656,920,105,301.20/937,490
  6. Step 6: Final answer
    x = 700,722.25

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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.