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Finding the Fourth Proportional to 310,760,280, 466,103,214.72 and 241,742,040

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Solution

The fourth proportional to 310,760,280, 466,103,214.72 and 241,742,040 is: 362,584,117.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,760,280 : 466,103,214.72 = 241,742,040 : x
  2. Step 2: Convert to fraction form
    310,760,280/466,103,214.72 = 241,742,040/x
  3. Step 3: Cross multiply
    310,760,280x = 466,103,214.72 × 241,742,040
  4. Step 4: Simplify right side
    310,760,280x = 112,676,741,976,970,832
  5. Step 5: Solve for x
    x = 112,676,741,976,970,832/310,760,280
  6. Step 6: Final answer
    x = 362,584,117.82

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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.