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Finding the Fourth Proportional to 472,156.04, 708,371.98 and 152,300.84

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Solution

The fourth proportional to 472,156.04, 708,371.98 and 152,300.84 is: 228,495.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,156.04 : 708,371.98 = 152,300.84 : x
  2. Step 2: Convert to fraction form
    472,156.04/708,371.98 = 152,300.84/x
  3. Step 3: Cross multiply
    472,156.04x = 708,371.98 × 152,300.84
  4. Step 4: Simplify right side
    472,156.04x = 107,885,643,663.85
  5. Step 5: Solve for x
    x = 107,885,643,663.85/472,156.04
  6. Step 6: Final answer
    x = 228,495.74

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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.