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Finding the Fourth Proportional to 487,304.64, 729,821.52 and 473,852.16

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Solution

The fourth proportional to 487,304.64, 729,821.52 and 473,852.16 is: 709,674.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,304.64 : 729,821.52 = 473,852.16 : x
  2. Step 2: Convert to fraction form
    487,304.64/729,821.52 = 473,852.16/x
  3. Step 3: Cross multiply
    487,304.64x = 729,821.52 × 473,852.16
  4. Step 4: Simplify right side
    487,304.64x = 345,827,503,666.48
  5. Step 5: Solve for x
    x = 345,827,503,666.48/487,304.64
  6. Step 6: Final answer
    x = 709,674.14

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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.