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Finding the Fourth Proportional to 341,465.80, 511,032.30 and 299,475.40

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Solution

The fourth proportional to 341,465.80, 511,032.30 and 299,475.40 is: 448,190.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,465.80 : 511,032.30 = 299,475.40 : x
  2. Step 2: Convert to fraction form
    341,465.80/511,032.30 = 299,475.40/x
  3. Step 3: Cross multiply
    341,465.80x = 511,032.30 × 299,475.40
  4. Step 4: Simplify right side
    341,465.80x = 153,041,602,455.42
  5. Step 5: Solve for x
    x = 153,041,602,455.42/341,465.80
  6. Step 6: Final answer
    x = 448,190.13

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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.