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Finding the Fourth Proportional to 1,046,547, 1,570,054.50 and 381,699

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Solution

The fourth proportional to 1,046,547, 1,570,054.50 and 381,699 is: 572,633.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,046,547 : 1,570,054.50 = 381,699 : x
  2. Step 2: Convert to fraction form
    1,046,547/1,570,054.50 = 381,699/x
  3. Step 3: Cross multiply
    1,046,547x = 1,570,054.50 × 381,699
  4. Step 4: Simplify right side
    1,046,547x = 599,288,232,595.50
  5. Step 5: Solve for x
    x = 599,288,232,595.50/1,046,547
  6. Step 6: Final answer
    x = 572,633.85

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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.