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Finding the Fourth Proportional to 292,461.48, 438,692.22 and 105,472.98

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Solution

The fourth proportional to 292,461.48, 438,692.22 and 105,472.98 is: 158,209.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,461.48 : 438,692.22 = 105,472.98 : x
  2. Step 2: Convert to fraction form
    292,461.48/438,692.22 = 105,472.98/x
  3. Step 3: Cross multiply
    292,461.48x = 438,692.22 × 105,472.98
  4. Step 4: Simplify right side
    292,461.48x = 46,270,175,746.22
  5. Step 5: Solve for x
    x = 46,270,175,746.22/292,461.48
  6. Step 6: Final answer
    x = 158,209.47

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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.