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Finding the Fourth Proportional to 975,459.24, 1,346,594 and 733,834

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Solution

The fourth proportional to 975,459.24, 1,346,594 and 733,834 is: 1,013,037.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    975,459.24 : 1,346,594 = 733,834 : x
  2. Step 2: Convert to fraction form
    975,459.24/1,346,594 = 733,834/x
  3. Step 3: Cross multiply
    975,459.24x = 1,346,594 × 733,834
  4. Step 4: Simplify right side
    975,459.24x = 988,176,461,396
  5. Step 5: Solve for x
    x = 988,176,461,396/975,459.24
  6. Step 6: Final answer
    x = 1,013,037.16

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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.