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Finding the Fourth Proportional to 315,909.10, 473,888.58 and 105,547.78

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Solution

The fourth proportional to 315,909.10, 473,888.58 and 105,547.78 is: 158,330.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,909.10 : 473,888.58 = 105,547.78 : x
  2. Step 2: Convert to fraction form
    315,909.10/473,888.58 = 105,547.78/x
  3. Step 3: Cross multiply
    315,909.10x = 473,888.58 × 105,547.78
  4. Step 4: Simplify right side
    315,909.10x = 50,017,887,586.35
  5. Step 5: Solve for x
    x = 50,017,887,586.35/315,909.10
  6. Step 6: Final answer
    x = 158,330.00

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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.