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Finding the Fourth Proportional to 473,435.80, 710,153.70 and 341,243.80

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Solution

The fourth proportional to 473,435.80, 710,153.70 and 341,243.80 is: 511,865.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,435.80 : 710,153.70 = 341,243.80 : x
  2. Step 2: Convert to fraction form
    473,435.80/710,153.70 = 341,243.80/x
  3. Step 3: Cross multiply
    473,435.80x = 710,153.70 × 341,243.80
  4. Step 4: Simplify right side
    473,435.80x = 242,335,547,172.06
  5. Step 5: Solve for x
    x = 242,335,547,172.06/473,435.80
  6. Step 6: Final answer
    x = 511,865.70

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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.