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Finding the Fourth Proportional to 499,368.16, 748,702.32 and 183,784.06

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Solution

The fourth proportional to 499,368.16, 748,702.32 and 183,784.06 is: 275,547.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,368.16 : 748,702.32 = 183,784.06 : x
  2. Step 2: Convert to fraction form
    499,368.16/748,702.32 = 183,784.06/x
  3. Step 3: Cross multiply
    499,368.16x = 748,702.32 × 183,784.06
  4. Step 4: Simplify right side
    499,368.16x = 137,599,552,101.02
  5. Step 5: Solve for x
    x = 137,599,552,101.02/499,368.16
  6. Step 6: Final answer
    x = 275,547.31

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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.