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Finding the Fourth Proportional to 334,548, 501,868.80 and 97,907.76

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Solution

The fourth proportional to 334,548, 501,868.80 and 97,907.76 is: 146,875.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,548 : 501,868.80 = 97,907.76 : x
  2. Step 2: Convert to fraction form
    334,548/501,868.80 = 97,907.76/x
  3. Step 3: Cross multiply
    334,548x = 501,868.80 × 97,907.76
  4. Step 4: Simplify right side
    334,548x = 49,136,850,021.89
  5. Step 5: Solve for x
    x = 49,136,850,021.89/334,548
  6. Step 6: Final answer
    x = 146,875.34

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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.