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Finding the Fourth Proportional to 529,162.40, 730,223.16 and 314,296.76

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Solution

The fourth proportional to 529,162.40, 730,223.16 and 314,296.76 is: 433,717.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,162.40 : 730,223.16 = 314,296.76 : x
  2. Step 2: Convert to fraction form
    529,162.40/730,223.16 = 314,296.76/x
  3. Step 3: Cross multiply
    529,162.40x = 730,223.16 × 314,296.76
  4. Step 4: Simplify right side
    529,162.40x = 229,506,773,264.96
  5. Step 5: Solve for x
    x = 229,506,773,264.96/529,162.40
  6. Step 6: Final answer
    x = 433,717.08

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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.