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Finding the Fourth Proportional to 587,288.40, 824,070 and 587,288.40

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Solution

The fourth proportional to 587,288.40, 824,070 and 587,288.40 is: 824,070

Step by Step Solution

  1. Step 1: Write the proportion equation
    587,288.40 : 824,070 = 587,288.40 : x
  2. Step 2: Convert to fraction form
    587,288.40/824,070 = 587,288.40/x
  3. Step 3: Cross multiply
    587,288.40x = 824,070 × 587,288.40
  4. Step 4: Simplify right side
    587,288.40x = 483,966,751,788
  5. Step 5: Solve for x
    x = 483,966,751,788/587,288.40
  6. Step 6: Final answer
    x = 824,070

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.