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Finding the Fourth Proportional to 529,537, 730,258.14 and 348,402.64

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Solution

The fourth proportional to 529,537, 730,258.14 and 348,402.64 is: 480,464.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,537 : 730,258.14 = 348,402.64 : x
  2. Step 2: Convert to fraction form
    529,537/730,258.14 = 348,402.64/x
  3. Step 3: Cross multiply
    529,537x = 730,258.14 × 348,402.64
  4. Step 4: Simplify right side
    529,537x = 254,423,863,857.49
  5. Step 5: Solve for x
    x = 254,423,863,857.49/529,537
  6. Step 6: Final answer
    x = 480,464.75

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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.