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Finding the Fourth Proportional to 350,594.70, 525,980.74 and 97,875

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Solution

The fourth proportional to 350,594.70, 525,980.74 and 97,875 is: 146,837.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,594.70 : 525,980.74 = 97,875 : x
  2. Step 2: Convert to fraction form
    350,594.70/525,980.74 = 97,875/x
  3. Step 3: Cross multiply
    350,594.70x = 525,980.74 × 97,875
  4. Step 4: Simplify right side
    350,594.70x = 51,480,364,927.50
  5. Step 5: Solve for x
    x = 51,480,364,927.50/350,594.70
  6. Step 6: Final answer
    x = 146,837.26

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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.