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Finding the Fourth Proportional to 292,465, 403,602.24 and 158,329

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Solution

The fourth proportional to 292,465, 403,602.24 and 158,329 is: 218,494.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,465 : 403,602.24 = 158,329 : x
  2. Step 2: Convert to fraction form
    292,465/403,602.24 = 158,329/x
  3. Step 3: Cross multiply
    292,465x = 403,602.24 × 158,329
  4. Step 4: Simplify right side
    292,465x = 63,901,939,056.96
  5. Step 5: Solve for x
    x = 63,901,939,056.96/292,465
  6. Step 6: Final answer
    x = 218,494.31

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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.