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Finding the Fourth Proportional to 612,460.24, 917,492.28 and 401,454.16

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Solution

The fourth proportional to 612,460.24, 917,492.28 and 401,454.16 is: 601,395.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    612,460.24 : 917,492.28 = 401,454.16 : x
  2. Step 2: Convert to fraction form
    612,460.24/917,492.28 = 401,454.16/x
  3. Step 3: Cross multiply
    612,460.24x = 917,492.28 × 401,454.16
  4. Step 4: Simplify right side
    612,460.24x = 368,331,092,573.89
  5. Step 5: Solve for x
    x = 368,331,092,573.89/612,460.24
  6. Step 6: Final answer
    x = 601,395.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.