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Finding the Fourth Proportional to 875,464, 1,208,140.32 and 473,056

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Solution

The fourth proportional to 875,464, 1,208,140.32 and 473,056 is: 652,817.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    875,464 : 1,208,140.32 = 473,056 : x
  2. Step 2: Convert to fraction form
    875,464/1,208,140.32 = 473,056/x
  3. Step 3: Cross multiply
    875,464x = 1,208,140.32 × 473,056
  4. Step 4: Simplify right side
    875,464x = 571,518,027,217.92
  5. Step 5: Solve for x
    x = 571,518,027,217.92/875,464
  6. Step 6: Final answer
    x = 652,817.28

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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.