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Finding the Fourth Proportional to 423,604.65, 584,588.16 and 242,316.93

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Solution

The fourth proportional to 423,604.65, 584,588.16 and 242,316.93 is: 334,405.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,604.65 : 584,588.16 = 242,316.93 : x
  2. Step 2: Convert to fraction form
    423,604.65/584,588.16 = 242,316.93/x
  3. Step 3: Cross multiply
    423,604.65x = 584,588.16 × 242,316.93
  4. Step 4: Simplify right side
    423,604.65x = 141,655,607,033.96
  5. Step 5: Solve for x
    x = 141,655,607,033.96/423,604.65
  6. Step 6: Final answer
    x = 334,405.22

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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.