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Finding the Fourth Proportional to 937,488, 1,293,732.80 and 507,768

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Solution

The fourth proportional to 937,488, 1,293,732.80 and 507,768 is: 700,719.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    937,488 : 1,293,732.80 = 507,768 : x
  2. Step 2: Convert to fraction form
    937,488/1,293,732.80 = 507,768/x
  3. Step 3: Cross multiply
    937,488x = 1,293,732.80 × 507,768
  4. Step 4: Simplify right side
    937,488x = 656,916,116,390.40
  5. Step 5: Solve for x
    x = 656,916,116,390.40/937,488
  6. Step 6: Final answer
    x = 700,719.49

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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.