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Finding the Fourth Proportional to 653,708.61, 901,858.47 and 378,015.51

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Solution

The fourth proportional to 653,708.61, 901,858.47 and 378,015.51 is: 521,511.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,708.61 : 901,858.47 = 378,015.51 : x
  2. Step 2: Convert to fraction form
    653,708.61/901,858.47 = 378,015.51/x
  3. Step 3: Cross multiply
    653,708.61x = 901,858.47 × 378,015.51
  4. Step 4: Simplify right side
    653,708.61x = 340,916,492,307.38
  5. Step 5: Solve for x
    x = 340,916,492,307.38/653,708.61
  6. Step 6: Final answer
    x = 521,511.40

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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.