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Finding the Fourth Proportional to 533,146.23, 735,741.81 and 291,429.81

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Solution

The fourth proportional to 533,146.23, 735,741.81 and 291,429.81 is: 402,173.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,146.23 : 735,741.81 = 291,429.81 : x
  2. Step 2: Convert to fraction form
    533,146.23/735,741.81 = 291,429.81/x
  3. Step 3: Cross multiply
    533,146.23x = 735,741.81 × 291,429.81
  4. Step 4: Simplify right side
    533,146.23x = 214,417,095,897.36
  5. Step 5: Solve for x
    x = 214,417,095,897.36/533,146.23
  6. Step 6: Final answer
    x = 402,173.14

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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.