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Finding the Fourth Proportional to 424,952.64, 586,412.88 and 233,929.20

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Solution

The fourth proportional to 424,952.64, 586,412.88 and 233,929.20 is: 322,810.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,952.64 : 586,412.88 = 233,929.20 : x
  2. Step 2: Convert to fraction form
    424,952.64/586,412.88 = 233,929.20/x
  3. Step 3: Cross multiply
    424,952.64x = 586,412.88 × 233,929.20
  4. Step 4: Simplify right side
    424,952.64x = 137,179,095,888.10
  5. Step 5: Solve for x
    x = 137,179,095,888.10/424,952.64
  6. Step 6: Final answer
    x = 322,810.32

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1.5x scale

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.