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Finding the Fourth Proportional to 473,061.85, 710,547.81 and 283,881.49

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Solution

The fourth proportional to 473,061.85, 710,547.81 and 283,881.49 is: 426,395.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,061.85 : 710,547.81 = 283,881.49 : x
  2. Step 2: Convert to fraction form
    473,061.85/710,547.81 = 283,881.49/x
  3. Step 3: Cross multiply
    473,061.85x = 710,547.81 × 283,881.49
  4. Step 4: Simplify right side
    473,061.85x = 201,711,371,019.04
  5. Step 5: Solve for x
    x = 201,711,371,019.04/473,061.85
  6. Step 6: Final answer
    x = 426,395.35

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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.