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Finding the Fourth Proportional to 651,804.10, 977,706.15 and 546,828.10

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Solution

The fourth proportional to 651,804.10, 977,706.15 and 546,828.10 is: 820,242.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    651,804.10 : 977,706.15 = 546,828.10 : x
  2. Step 2: Convert to fraction form
    651,804.10/977,706.15 = 546,828.10/x
  3. Step 3: Cross multiply
    651,804.10x = 977,706.15 × 546,828.10
  4. Step 4: Simplify right side
    651,804.10x = 534,637,196,362.82
  5. Step 5: Solve for x
    x = 534,637,196,362.82/651,804.10
  6. Step 6: Final answer
    x = 820,242.15

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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.