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Finding the Fourth Proportional to 532,970.75, 735,509.30 and 291,263.51

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Solution

The fourth proportional to 532,970.75, 735,509.30 and 291,263.51 is: 401,948.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,970.75 : 735,509.30 = 291,263.51 : x
  2. Step 2: Convert to fraction form
    532,970.75/735,509.30 = 291,263.51/x
  3. Step 3: Cross multiply
    532,970.75x = 735,509.30 × 291,263.51
  4. Step 4: Simplify right side
    532,970.75x = 214,227,020,738.10
  5. Step 5: Solve for x
    x = 214,227,020,738.10/532,970.75
  6. Step 6: Final answer
    x = 401,948.92

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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.